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Finding the Fourth Proportional to 520,138,019.80, 780,207,029.70 and 472,520,906.20

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Solution

The fourth proportional to 520,138,019.80, 780,207,029.70 and 472,520,906.20 is: 708,781,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138,019.80 : 780,207,029.70 = 472,520,906.20 : x
  2. Step 2: Convert to fraction form
    520,138,019.80/780,207,029.70 = 472,520,906.20/x
  3. Step 3: Cross multiply
    520,138,019.80x = 780,207,029.70 × 472,520,906.20
  4. Step 4: Simplify right side
    520,138,019.80x = 368,664,132,697,454,336
  5. Step 5: Solve for x
    x = 368,664,132,697,454,336/520,138,019.80
  6. Step 6: Final answer
    x = 708,781,359.30

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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.