Ratio was 1 to 4. This was entirely due to the numbers of 17pdr guns available. It was also used as a towed weapon and mounted in the style of a german Self PRopellin AT gun in the
Archer based on the Valentine and issued to artillery Anti Tank regiments. It was also used in the
Challenger (Cruiser Mk 8) although faster than the Firefly it was more complex to produce and prodution stopped after 200. Towards the end of the war the Comet and the Centurion also mounted the 17pdr.
Comet is the tank the Cromwell should have been and was used up unti 1958 in British service and alsewhere into the 70s. Centurion of course is a classicand was in use until recently with the 105mm gun.
There was also the issue that many Shermans's weren't suitable for conversion to Firefly configuration. Of all the Shermans available only the Sherman I and V (M4, M4A4) were suitable and only those with Oilgear traversing gear.
There were a number of problems with British tank armament early in WW2. The Crusader/Covenanter cruiser tanks were designed around the 40mm/2pdr gun and there had been no consideration given to upgunning them.
It wasn't until the Cromwell generation that a larger gun (the 57mm/6pdr) was standardised; however the length development process for the Cromwell meant it was obsolescent before entering service. This wasn't helped by shortages of the 6pdr gun as it wasn't initially designed for turret use but as a towed AT gun.
The development of the 3in/17pdr was carried out by the Royal Artillery, rather than the Royal Tank Regiment, as AT guns (towed and SP) fell under their jurisdiction; this process started in late 1940. However it wasn't until 1942 that a tank to mount the 17pdr (the A30 Challenger, a less armoured Cromwell derivative).
The two tanks Captain_Swoop mentions, A34 Comet and A40 Centurion, were both proposed in mid 1943 after the A30 concept was dropped; both were designed from scratch to carry the 17pdr.
The Firefly was the (unofficial) brainchild of Brighty and Witheridge, both majors in the RTR, and both concerned about tank firepower
1. After much experimentation they developed a rigid mount for the 17pdr in a Sherman turret, using the tank hull mass to absorb the recoil. They were of course ordered to end the experiments
2 . Luckily for British tank crews Witheridge had some senior friends and the project was put on an official basis.
Technically speaking the Firefly conversion is clunky; a hole was cut in the rear turret armour and a box welded on externally to hold the radio sets, a modified 17pdr was fitted on its side into the turret. Ammunition stowage and handling was awkward due to the size of the 17pdr rounds. However it did work.
1 Witheridge especially, he'd been involved in hard fighting in the western desert including having a Grant blown out from under him and was a proponent of a tank gun with good AP and HE capability.
2 They were also asked to account for the Sherman used in their experiments which was not obtained officially.