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Finding the Fourth Proportional to 412,934.60, 619,401.90 and 132,480.20

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Solution

The fourth proportional to 412,934.60, 619,401.90 and 132,480.20 is: 198,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,934.60 : 619,401.90 = 132,480.20 : x
  2. Step 2: Convert to fraction form
    412,934.60/619,401.90 = 132,480.20/x
  3. Step 3: Cross multiply
    412,934.60x = 619,401.90 × 132,480.20
  4. Step 4: Simplify right side
    412,934.60x = 82,058,487,592.38
  5. Step 5: Solve for x
    x = 82,058,487,592.38/412,934.60
  6. Step 6: Final answer
    x = 198,720.30

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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.