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Finding the Fourth Proportional to 442,209.62, 663,199.68 and 126,592.86

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Solution

The fourth proportional to 442,209.62, 663,199.68 and 126,592.86 is: 189,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,209.62 : 663,199.68 = 126,592.86 : x
  2. Step 2: Convert to fraction form
    442,209.62/663,199.68 = 126,592.86/x
  3. Step 3: Cross multiply
    442,209.62x = 663,199.68 × 126,592.86
  4. Step 4: Simplify right side
    442,209.62x = 83,956,344,242.28
  5. Step 5: Solve for x
    x = 83,956,344,242.28/442,209.62
  6. Step 6: Final answer
    x = 189,856.44

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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.