Cf. medieval L. mille vie ducunt hominem per secula Romam, a thousand roads lead man for ever towards Rome. [c 1391 Chaucer Astrolabe Prologue l. 40] Right as diverse pathes leden diverse folk the righte way to Rome.
All roads alike conduct to Rome.
[1806 R. Thomson tr. La Fontaine's Fables IV. xii. xxiv.]
You know all roads lead to Rome, and they say that Oxford is half-way to Rome.
[1872 W. Black Strange Adventures of Phaeton vi.]
All roads lead to Rome: and even animal individuality throws a ray on human problems.
[1912 J. S. Huxley Individual in Animal Kingdom vi.]
All roads, of course, led to Rome: an expression of Rome's control over the empire's landscape and populace.
[2002 Spectator 16 Feb. 21]
Related to: beginnings and endings; ways and means
Bibliography of major proverb collections and works cited from modern editions is available here.
Many different methods will produce the same result. For example, So long as you meet the deadline, I don't care how much help you get--all roads lead to Rome. Based on the fact that the Roman Empire's excellent road system radiated from the capital like the spokes of a wheel, this metaphor was already being used in the 1100s.