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Finding the Fourth Proportional to 412,770.20, 619,155.30 and 132,315.80

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Solution

The fourth proportional to 412,770.20, 619,155.30 and 132,315.80 is: 198,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,770.20 : 619,155.30 = 132,315.80 : x
  2. Step 2: Convert to fraction form
    412,770.20/619,155.30 = 132,315.80/x
  3. Step 3: Cross multiply
    412,770.20x = 619,155.30 × 132,315.80
  4. Step 4: Simplify right side
    412,770.20x = 81,924,028,843.74
  5. Step 5: Solve for x
    x = 81,924,028,843.74/412,770.20
  6. Step 6: Final answer
    x = 198,473.70

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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.