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Finding the Fourth Proportional to 681,825, 1,022,885.16 and 261,100.92

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Solution

The fourth proportional to 681,825, 1,022,885.16 and 261,100.92 is: 391,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,825 : 1,022,885.16 = 261,100.92 : x
  2. Step 2: Convert to fraction form
    681,825/1,022,885.16 = 261,100.92/x
  3. Step 3: Cross multiply
    681,825x = 1,022,885.16 × 261,100.92
  4. Step 4: Simplify right side
    681,825x = 267,076,256,330.35
  5. Step 5: Solve for x
    x = 267,076,256,330.35/681,825
  6. Step 6: Final answer
    x = 391,707.93

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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.