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Finding the Fourth Proportional to 498,335,718.80, 747,098,894.10 and 207,420,598.10

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Solution

The fourth proportional to 498,335,718.80, 747,098,894.10 and 207,420,598.10 is: 310,962,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,335,718.80 : 747,098,894.10 = 207,420,598.10 : x
  2. Step 2: Convert to fraction form
    498,335,718.80/747,098,894.10 = 207,420,598.10/x
  3. Step 3: Cross multiply
    498,335,718.80x = 747,098,894.10 × 207,420,598.10
  4. Step 4: Simplify right side
    498,335,718.80x = 154,963,699,454,070,560
  5. Step 5: Solve for x
    x = 154,963,699,454,070,560/498,335,718.80
  6. Step 6: Final answer
    x = 310,962,456.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.