马上

mǎ shàng

at once

right away; immediately; on horseback (i.e. by military force)

abbr. for Malaysia 馬來西亞|马来西亚[Ma3 lai2 xi1 ya4]

shàng

(bound form) up; upper; above; previous

horse (马) + up/on (上) = immediately

The image is of being ready to ride off instantly when duty calls. This military origin explains both the literal 'on horseback' meaning and the extended sense of immediate action.