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Finding the Fourth Proportional to 256,924.28, 385,444.92 and 138,593

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Solution

The fourth proportional to 256,924.28, 385,444.92 and 138,593 is: 207,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,924.28 : 385,444.92 = 138,593 : x
  2. Step 2: Convert to fraction form
    256,924.28/385,444.92 = 138,593/x
  3. Step 3: Cross multiply
    256,924.28x = 385,444.92 × 138,593
  4. Step 4: Simplify right side
    256,924.28x = 53,419,967,797.56
  5. Step 5: Solve for x
    x = 53,419,967,797.56/256,924.28
  6. Step 6: Final answer
    x = 207,921.06

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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.