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Finding the Fourth Proportional to 499,060.80, 747,770.40 and 288,331.20

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Solution

The fourth proportional to 499,060.80, 747,770.40 and 288,331.20 is: 432,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,060.80 : 747,770.40 = 288,331.20 : x
  2. Step 2: Convert to fraction form
    499,060.80/747,770.40 = 288,331.20/x
  3. Step 3: Cross multiply
    499,060.80x = 747,770.40 × 288,331.20
  4. Step 4: Simplify right side
    499,060.80x = 215,605,536,756.48
  5. Step 5: Solve for x
    x = 215,605,536,756.48/499,060.80
  6. Step 6: Final answer
    x = 432,022.58

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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.