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Finding the Fourth Proportional to 412,614.20, 618,921.30 and 132,159.80

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Solution

The fourth proportional to 412,614.20, 618,921.30 and 132,159.80 is: 198,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614.20 : 618,921.30 = 132,159.80 : x
  2. Step 2: Convert to fraction form
    412,614.20/618,921.30 = 132,159.80/x
  3. Step 3: Cross multiply
    412,614.20x = 618,921.30 × 132,159.80
  4. Step 4: Simplify right side
    412,614.20x = 81,796,515,223.74
  5. Step 5: Solve for x
    x = 81,796,515,223.74/412,614.20
  6. Step 6: Final answer
    x = 198,239.70

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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.