Finding the Fourth Proportional to 860,403,014,209.10, 1,187,460,277,155.80 and 489,696,564,026.12
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Solution
The fourth proportional to 860,403,014,209.10, 1,187,460,277,155.80 and 489,696,564,026.12 is: 675,840,516,638.85
Step by Step Solution
- Step 1: Write the proportion equation
860,403,014,209.10 : 1,187,460,277,155.80 = 489,696,564,026.12 : x - Step 2: Convert to fraction form
860,403,014,209.10/1,187,460,277,155.80 = 489,696,564,026.12/x - Step 3: Cross multiply
860,403,014,209.10x = 1,187,460,277,155.80 × 489,696,564,026.12 - Step 4: Simplify right side
860,403,014,209.10x = 581,495,217,640,699,401,863,168 - Step 5: Solve for x
x = 581,495,217,640,699,401,863,168/860,403,014,209.10 - Step 6: Final answer
x = 675,840,516,638.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.