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Finding the Fourth Proportional to 323,610.14, 485,033.96 and 145,909.10

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Solution

The fourth proportional to 323,610.14, 485,033.96 and 145,909.10 is: 218,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,610.14 : 485,033.96 = 145,909.10 : x
  2. Step 2: Convert to fraction form
    323,610.14/485,033.96 = 145,909.10/x
  3. Step 3: Cross multiply
    323,610.14x = 485,033.96 × 145,909.10
  4. Step 4: Simplify right side
    323,610.14x = 70,770,868,573.04
  5. Step 5: Solve for x
    x = 70,770,868,573.04/323,610.14
  6. Step 6: Final answer
    x = 218,691.75

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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.