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Finding the Fourth Proportional to 521,167.86, 781,866.54 and 296,633.97

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Solution

The fourth proportional to 521,167.86, 781,866.54 and 296,633.97 is: 445,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,167.86 : 781,866.54 = 296,633.97 : x
  2. Step 2: Convert to fraction form
    521,167.86/781,866.54 = 296,633.97/x
  3. Step 3: Cross multiply
    521,167.86x = 781,866.54 × 296,633.97
  4. Step 4: Simplify right side
    521,167.86x = 231,928,175,770.36
  5. Step 5: Solve for x
    x = 231,928,175,770.36/521,167.86
  6. Step 6: Final answer
    x = 445,016.27

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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.