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Finding the Fourth Proportional to 442,978.40, 665,123.70 and 343,251.20

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Solution

The fourth proportional to 442,978.40, 665,123.70 and 343,251.20 is: 515,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,978.40 : 665,123.70 = 343,251.20 : x
  2. Step 2: Convert to fraction form
    442,978.40/665,123.70 = 343,251.20/x
  3. Step 3: Cross multiply
    442,978.40x = 665,123.70 × 343,251.20
  4. Step 4: Simplify right side
    442,978.40x = 228,304,508,173.44
  5. Step 5: Solve for x
    x = 228,304,508,173.44/442,978.40
  6. Step 6: Final answer
    x = 515,385.19

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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.