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Finding the Fourth Proportional to 680,315,451.83, 938,334,087.78 and 513,058,761.71

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Solution

The fourth proportional to 680,315,451.83, 938,334,087.78 and 513,058,761.71 is: 707,643,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,315,451.83 : 938,334,087.78 = 513,058,761.71 : x
  2. Step 2: Convert to fraction form
    680,315,451.83/938,334,087.78 = 513,058,761.71/x
  3. Step 3: Cross multiply
    680,315,451.83x = 938,334,087.78 × 513,058,761.71
  4. Step 4: Simplify right side
    680,315,451.83x = 481,420,525,146,689,216
  5. Step 5: Solve for x
    x = 481,420,525,146,689,216/680,315,451.83
  6. Step 6: Final answer
    x = 707,643,085.06

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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.