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Finding the Fourth Proportional to 501,262.29, 691,778.61 and 286,397.71

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Solution

The fourth proportional to 501,262.29, 691,778.61 and 286,397.71 is: 395,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,262.29 : 691,778.61 = 286,397.71 : x
  2. Step 2: Convert to fraction form
    501,262.29/691,778.61 = 286,397.71/x
  3. Step 3: Cross multiply
    501,262.29x = 691,778.61 × 286,397.71
  4. Step 4: Simplify right side
    501,262.29x = 198,123,808,001.54
  5. Step 5: Solve for x
    x = 198,123,808,001.54/501,262.29
  6. Step 6: Final answer
    x = 395,249.78

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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.