Context. The HCN, HCO+, and HNC molecules are commonly used as tracers of dense star-forming gas in external galaxies, but such observations are spatially unresolved. Reliably inferring the properties of galactic nuclei and disks requires detailed studies of sources whose structure is spatially resolved. Aims. To understand the origin of extragalactic molecular line emission, we compare the spatial distributions and abundance ratios of HCN, HCO+, and HNC in W49A, the most massive and luminous star-forming region in the Galactic disk. Methods. Maps of a 2′ (6.6 pc) field at 14′′ (0.83 pc) resolution of the J=4–3 transitions of HCN, H13CN, HC15N, HCO+, H13CO+, HC18O+, and HNC are combined with supplementary observations of the J=5–4 transitio...