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Finding the Fourth Proportional to 287,691.24, 431,350.02 and 119,165.88

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Solution

The fourth proportional to 287,691.24, 431,350.02 and 119,165.88 is: 178,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,691.24 : 431,350.02 = 119,165.88 : x
  2. Step 2: Convert to fraction form
    287,691.24/431,350.02 = 119,165.88/x
  3. Step 3: Cross multiply
    287,691.24x = 431,350.02 × 119,165.88
  4. Step 4: Simplify right side
    287,691.24x = 51,402,204,721.32
  5. Step 5: Solve for x
    x = 51,402,204,721.32/287,691.24
  6. Step 6: Final answer
    x = 178,671.43

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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.