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Finding the Fourth Proportional to 498,342.83, 747,488.12 and 143,342.91

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Solution

The fourth proportional to 498,342.83, 747,488.12 and 143,342.91 is: 215,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,342.83 : 747,488.12 = 143,342.91 : x
  2. Step 2: Convert to fraction form
    498,342.83/747,488.12 = 143,342.91/x
  3. Step 3: Cross multiply
    498,342.83x = 747,488.12 × 143,342.91
  4. Step 4: Simplify right side
    498,342.83x = 107,147,121,594.52
  5. Step 5: Solve for x
    x = 107,147,121,594.52/498,342.83
  6. Step 6: Final answer
    x = 215,006.85

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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.