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Finding the Fourth Proportional to 461,608.20, 691,721.10 and 391,105.80

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Solution

The fourth proportional to 461,608.20, 691,721.10 and 391,105.80 is: 586,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,608.20 : 691,721.10 = 391,105.80 : x
  2. Step 2: Convert to fraction form
    461,608.20/691,721.10 = 391,105.80/x
  3. Step 3: Cross multiply
    461,608.20x = 691,721.10 × 391,105.80
  4. Step 4: Simplify right side
    461,608.20x = 270,536,134,192.38
  5. Step 5: Solve for x
    x = 270,536,134,192.38/461,608.20
  6. Step 6: Final answer
    x = 586,073.07

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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.