The timing of this vision marks a major historical crossroads, a moment when global empires and seats of power are shifting. To avoid historical confusion, the primary approach among commentators is to carefully identify the rulers involved. The ruler mentioned, Darius son of Ahasuerus, is not connected to the familiar story of Purim. He is not the son of the Ahasuerus who interacted with Haman, nor is Queen Esther his mother [רש"י, מצודת דוד, אבן עזרא, יוסף אבן יחיא]. Instead, to clearly separate him from the later Persian king who shared the name Darius, his Median heritage is emphasized. This confirms that he is the first Darius [מלבי"ם, ביאור שטיינזלץ].
This Median king came to rule over the Chaldean kingdom, which is the empire of Babylon. He did not inherit this massive realm; rather, he seized control of it through conquest, stepping into power immediately following the death of Belshazzar [רש"י, מצודת דוד, מלבי"ם, ביאור שטיינזלץ].
A fascinating perspective on his background reveals that this Darius was actually the father-in-law of Cyrus, the King of Persia. For much of his life, he ruled as a minor and insignificant king. It was only in his old age that he experienced a dramatic rise in status, ultimately being crowned over the vast Chaldean empire that had once belonged to Nebuchadnezzar [יוסף אבן יחיא].