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Finding the Fourth Proportional to 412,840.20, 619,260.30 and 132,385.80

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Solution

The fourth proportional to 412,840.20, 619,260.30 and 132,385.80 is: 198,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,840.20 : 619,260.30 = 132,385.80 : x
  2. Step 2: Convert to fraction form
    412,840.20/619,260.30 = 132,385.80/x
  3. Step 3: Cross multiply
    412,840.20x = 619,260.30 × 132,385.80
  4. Step 4: Simplify right side
    412,840.20x = 81,981,270,223.74
  5. Step 5: Solve for x
    x = 81,981,270,223.74/412,840.20
  6. Step 6: Final answer
    x = 198,578.70

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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.