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Finding the Fourth Proportional to 442,909, 664,363.50 and 143,639.92

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Solution

The fourth proportional to 442,909, 664,363.50 and 143,639.92 is: 215,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,909 : 664,363.50 = 143,639.92 : x
  2. Step 2: Convert to fraction form
    442,909/664,363.50 = 143,639.92/x
  3. Step 3: Cross multiply
    442,909x = 664,363.50 × 143,639.92
  4. Step 4: Simplify right side
    442,909x = 95,429,119,990.92
  5. Step 5: Solve for x
    x = 95,429,119,990.92/442,909
  6. Step 6: Final answer
    x = 215,459.88

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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.