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Finding the Fourth Proportional to 458,058.29, 686,640.65 and 218,107.71

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Solution

The fourth proportional to 458,058.29, 686,640.65 and 218,107.71 is: 326,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,058.29 : 686,640.65 = 218,107.71 : x
  2. Step 2: Convert to fraction form
    458,058.29/686,640.65 = 218,107.71/x
  3. Step 3: Cross multiply
    458,058.29x = 686,640.65 × 218,107.71
  4. Step 4: Simplify right side
    458,058.29x = 149,761,618,673.87
  5. Step 5: Solve for x
    x = 149,761,618,673.87/458,058.29
  6. Step 6: Final answer
    x = 326,948.83

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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.