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Finding the Fourth Proportional to 498,967,974.64, 688,499,308.84 and 287,233,877.32

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Solution

The fourth proportional to 498,967,974.64, 688,499,308.84 and 287,233,877.32 is: 396,338,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,967,974.64 : 688,499,308.84 = 287,233,877.32 : x
  2. Step 2: Convert to fraction form
    498,967,974.64/688,499,308.84 = 287,233,877.32/x
  3. Step 3: Cross multiply
    498,967,974.64x = 688,499,308.84 × 287,233,877.32
  4. Step 4: Simplify right side
    498,967,974.64x = 197,760,326,010,253,344
  5. Step 5: Solve for x
    x = 197,760,326,010,253,344/498,967,974.64
  6. Step 6: Final answer
    x = 396,338,715.23

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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.