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Finding the Fourth Proportional to 508,016.20, 762,481.14 and 271,561

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Solution

The fourth proportional to 508,016.20, 762,481.14 and 271,561 is: 407,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,016.20 : 762,481.14 = 271,561 : x
  2. Step 2: Convert to fraction form
    508,016.20/762,481.14 = 271,561/x
  3. Step 3: Cross multiply
    508,016.20x = 762,481.14 × 271,561
  4. Step 4: Simplify right side
    508,016.20x = 207,060,140,859.54
  5. Step 5: Solve for x
    x = 207,060,140,859.54/508,016.20
  6. Step 6: Final answer
    x = 407,585.70

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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.