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Finding the Fourth Proportional to 412,675.20, 619,012.80 and 132,220.80

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Solution

The fourth proportional to 412,675.20, 619,012.80 and 132,220.80 is: 198,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,675.20 : 619,012.80 = 132,220.80 : x
  2. Step 2: Convert to fraction form
    412,675.20/619,012.80 = 132,220.80/x
  3. Step 3: Cross multiply
    412,675.20x = 619,012.80 × 132,220.80
  4. Step 4: Simplify right side
    412,675.20x = 81,846,367,626.24
  5. Step 5: Solve for x
    x = 81,846,367,626.24/412,675.20
  6. Step 6: Final answer
    x = 198,331.20

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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.