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Finding the Fourth Proportional to 412,519.80, 618,839.04 and 156,446.64

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Solution

The fourth proportional to 412,519.80, 618,839.04 and 156,446.64 is: 234,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,519.80 : 618,839.04 = 156,446.64 : x
  2. Step 2: Convert to fraction form
    412,519.80/618,839.04 = 156,446.64/x
  3. Step 3: Cross multiply
    412,519.80x = 618,839.04 × 156,446.64
  4. Step 4: Simplify right side
    412,519.80x = 96,815,288,508.83
  5. Step 5: Solve for x
    x = 96,815,288,508.83/412,519.80
  6. Step 6: Final answer
    x = 234,692.46

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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.