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Finding the Fourth Proportional to 399,158.64, 598,833.68 and 132,921.60

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Solution

The fourth proportional to 399,158.64, 598,833.68 and 132,921.60 is: 199,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,158.64 : 598,833.68 = 132,921.60 : x
  2. Step 2: Convert to fraction form
    399,158.64/598,833.68 = 132,921.60/x
  3. Step 3: Cross multiply
    399,158.64x = 598,833.68 × 132,921.60
  4. Step 4: Simplify right side
    399,158.64x = 79,597,930,879.49
  5. Step 5: Solve for x
    x = 79,597,930,879.49/399,158.64
  6. Step 6: Final answer
    x = 199,414.28

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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.