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Finding the Fourth Proportional to 402,737.40, 604,171.44 and 132,784.92

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Solution

The fourth proportional to 402,737.40, 604,171.44 and 132,784.92 is: 199,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,737.40 : 604,171.44 = 132,784.92 : x
  2. Step 2: Convert to fraction form
    402,737.40/604,171.44 = 132,784.92/x
  3. Step 3: Cross multiply
    402,737.40x = 604,171.44 × 132,784.92
  4. Step 4: Simplify right side
    402,737.40x = 80,224,856,326.68
  5. Step 5: Solve for x
    x = 80,224,856,326.68/402,737.40
  6. Step 6: Final answer
    x = 199,198.92

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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.