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Finding the Fourth Proportional to 681,809, 1,022,861.13 and 261,084.88

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Solution

The fourth proportional to 681,809, 1,022,861.13 and 261,084.88 is: 391,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,809 : 1,022,861.13 = 261,084.88 : x
  2. Step 2: Convert to fraction form
    681,809/1,022,861.13 = 261,084.88/x
  3. Step 3: Cross multiply
    681,809x = 1,022,861.13 × 261,084.88
  4. Step 4: Simplify right side
    681,809x = 267,053,568,962.98
  5. Step 5: Solve for x
    x = 267,053,568,962.98/681,809
  6. Step 6: Final answer
    x = 391,683.84

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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.