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Finding the Fourth Proportional to 440,100, 660,234.84 and 187,375.80

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Solution

The fourth proportional to 440,100, 660,234.84 and 187,375.80 is: 281,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,100 : 660,234.84 = 187,375.80 : x
  2. Step 2: Convert to fraction form
    440,100/660,234.84 = 187,375.80/x
  3. Step 3: Cross multiply
    440,100x = 660,234.84 × 187,375.80
  4. Step 4: Simplify right side
    440,100x = 123,712,031,332.87
  5. Step 5: Solve for x
    x = 123,712,031,332.87/440,100
  6. Step 6: Final answer
    x = 281,099.82

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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.