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Finding the Fourth Proportional to 415,802.86, 623,781.21 and 131,564.97

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Solution

The fourth proportional to 415,802.86, 623,781.21 and 131,564.97 is: 197,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,802.86 : 623,781.21 = 131,564.97 : x
  2. Step 2: Convert to fraction form
    415,802.86/623,781.21 = 131,564.97/x
  3. Step 3: Cross multiply
    415,802.86x = 623,781.21 × 131,564.97
  4. Step 4: Simplify right side
    415,802.86x = 82,067,752,955.87
  5. Step 5: Solve for x
    x = 82,067,752,955.87/415,802.86
  6. Step 6: Final answer
    x = 197,371.78

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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.