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Finding the Fourth Proportional to 413,468.97, 619,809.78 and 132,789.39

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Solution

The fourth proportional to 413,468.97, 619,809.78 and 132,789.39 is: 199,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,468.97 : 619,809.78 = 132,789.39 : x
  2. Step 2: Convert to fraction form
    413,468.97/619,809.78 = 132,789.39/x
  3. Step 3: Cross multiply
    413,468.97x = 619,809.78 × 132,789.39
  4. Step 4: Simplify right side
    413,468.97x = 82,304,162,602.23
  5. Step 5: Solve for x
    x = 82,304,162,602.23/413,468.97
  6. Step 6: Final answer
    x = 199,057.65

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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.