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Finding the Fourth Proportional to 256,922.68, 385,288.26 and 88,395.88

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Solution

The fourth proportional to 256,922.68, 385,288.26 and 88,395.88 is: 132,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,922.68 : 385,288.26 = 88,395.88 : x
  2. Step 2: Convert to fraction form
    256,922.68/385,288.26 = 88,395.88/x
  3. Step 3: Cross multiply
    256,922.68x = 385,288.26 × 88,395.88
  4. Step 4: Simplify right side
    256,922.68x = 34,057,894,796.37
  5. Step 5: Solve for x
    x = 34,057,894,796.37/256,922.68
  6. Step 6: Final answer
    x = 132,560.87

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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.