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Finding the Fourth Proportional to 402,384,697.80, 603,577,046.70 and 279,940,691.40

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Solution

The fourth proportional to 402,384,697.80, 603,577,046.70 and 279,940,691.40 is: 419,911,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,384,697.80 : 603,577,046.70 = 279,940,691.40 : x
  2. Step 2: Convert to fraction form
    402,384,697.80/603,577,046.70 = 279,940,691.40/x
  3. Step 3: Cross multiply
    402,384,697.80x = 603,577,046.70 × 279,940,691.40
  4. Step 4: Simplify right side
    402,384,697.80x = 168,965,775,766,368,096
  5. Step 5: Solve for x
    x = 168,965,775,766,368,096/402,384,697.80
  6. Step 6: Final answer
    x = 419,911,037.10

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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.