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Finding the Fourth Proportional to 412,841.20, 619,261.80 and 132,386.80

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Solution

The fourth proportional to 412,841.20, 619,261.80 and 132,386.80 is: 198,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,841.20 : 619,261.80 = 132,386.80 : x
  2. Step 2: Convert to fraction form
    412,841.20/619,261.80 = 132,386.80/x
  3. Step 3: Cross multiply
    412,841.20x = 619,261.80 × 132,386.80
  4. Step 4: Simplify right side
    412,841.20x = 81,982,088,064.24
  5. Step 5: Solve for x
    x = 81,982,088,064.24/412,841.20
  6. Step 6: Final answer
    x = 198,580.20

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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.