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Finding the Fourth Proportional to 508,909.46, 762,201.50 and 242,856.80

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Solution

The fourth proportional to 508,909.46, 762,201.50 and 242,856.80 is: 363,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,909.46 : 762,201.50 = 242,856.80 : x
  2. Step 2: Convert to fraction form
    508,909.46/762,201.50 = 242,856.80/x
  3. Step 3: Cross multiply
    508,909.46x = 762,201.50 × 242,856.80
  4. Step 4: Simplify right side
    508,909.46x = 185,105,817,245.20
  5. Step 5: Solve for x
    x = 185,105,817,245.20/508,909.46
  6. Step 6: Final answer
    x = 363,730.35

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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.