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Finding the Fourth Proportional to 427,691.13, 641,511.78 and 112,147.93

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Solution

The fourth proportional to 427,691.13, 641,511.78 and 112,147.93 is: 168,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,691.13 : 641,511.78 = 112,147.93 : x
  2. Step 2: Convert to fraction form
    427,691.13/641,511.78 = 112,147.93/x
  3. Step 3: Cross multiply
    427,691.13x = 641,511.78 × 112,147.93
  4. Step 4: Simplify right side
    427,691.13x = 71,944,218,197.62
  5. Step 5: Solve for x
    x = 71,944,218,197.62/427,691.13
  6. Step 6: Final answer
    x = 168,215.36

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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.