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Finding the Fourth Proportional to 415,780.38, 573,776.91 and 224,793.72

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Solution

The fourth proportional to 415,780.38, 573,776.91 and 224,793.72 is: 310,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,780.38 : 573,776.91 = 224,793.72 : x
  2. Step 2: Convert to fraction form
    415,780.38/573,776.91 = 224,793.72/x
  3. Step 3: Cross multiply
    415,780.38x = 573,776.91 × 224,793.72
  4. Step 4: Simplify right side
    415,780.38x = 128,981,446,049.01
  5. Step 5: Solve for x
    x = 128,981,446,049.01/415,780.38
  6. Step 6: Final answer
    x = 310,215.33

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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.