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Finding the Fourth Proportional to 457,371.50, 686,166.26 and 157,854.69

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Solution

The fourth proportional to 457,371.50, 686,166.26 and 157,854.69 is: 236,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,371.50 : 686,166.26 = 157,854.69 : x
  2. Step 2: Convert to fraction form
    457,371.50/686,166.26 = 157,854.69/x
  3. Step 3: Cross multiply
    457,371.50x = 686,166.26 × 157,854.69
  4. Step 4: Simplify right side
    457,371.50x = 108,314,561,471.49
  5. Step 5: Solve for x
    x = 108,314,561,471.49/457,371.50
  6. Step 6: Final answer
    x = 236,819.66

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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.