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Finding the Fourth Proportional to 412,891.20, 619,336.80 and 132,436.80

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Solution

The fourth proportional to 412,891.20, 619,336.80 and 132,436.80 is: 198,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,891.20 : 619,336.80 = 132,436.80 : x
  2. Step 2: Convert to fraction form
    412,891.20/619,336.80 = 132,436.80/x
  3. Step 3: Cross multiply
    412,891.20x = 619,336.80 × 132,436.80
  4. Step 4: Simplify right side
    412,891.20x = 82,022,983,914.24
  5. Step 5: Solve for x
    x = 82,022,983,914.24/412,891.20
  6. Step 6: Final answer
    x = 198,655.20

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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.