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Finding the Fourth Proportional to 498,510.30, 747,765.45 and 287,902.20

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Solution

The fourth proportional to 498,510.30, 747,765.45 and 287,902.20 is: 431,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,510.30 : 747,765.45 = 287,902.20 : x
  2. Step 2: Convert to fraction form
    498,510.30/747,765.45 = 287,902.20/x
  3. Step 3: Cross multiply
    498,510.30x = 747,765.45 × 287,902.20
  4. Step 4: Simplify right side
    498,510.30x = 215,283,318,138.99
  5. Step 5: Solve for x
    x = 215,283,318,138.99/498,510.30
  6. Step 6: Final answer
    x = 431,853.30

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Similar ratio
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1.5x scale

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.