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Finding the Fourth Proportional to 498,153.28, 747,449.16 and 261,438.88

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Solution

The fourth proportional to 498,153.28, 747,449.16 and 261,438.88 is: 392,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,153.28 : 747,449.16 = 261,438.88 : x
  2. Step 2: Convert to fraction form
    498,153.28/747,449.16 = 261,438.88/x
  3. Step 3: Cross multiply
    498,153.28x = 747,449.16 × 261,438.88
  4. Step 4: Simplify right side
    498,153.28x = 195,412,271,247.34
  5. Step 5: Solve for x
    x = 195,412,271,247.34/498,153.28
  6. Step 6: Final answer
    x = 392,273.38

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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.