You'd need a new PSU aswell, nothing that's going to run BF4 on ultra(even at 1600x900) will run on a 250w power supply.
PCPartPicker part list:
http://pcpartpicker.com/p/1hgLG
Price breakdown by merchant: http://pcpartpicker.com/p/1hgLG/by_merchant/
Benchmarks: http://pcpartpicker.com/p/1hgLG/benchmarks/
Video Card: EVGA GeForce GTX 760 2GB Video Card ($236.43 @ Mwave)
Power Supply: SeaSonic 620W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($59.99 @ Newegg)
Total: $296.42
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-11-03 00:24 EDT-0400)