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Finding the Fourth Proportional to 256,923.28, 385,443.42 and 138,592

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Solution

The fourth proportional to 256,923.28, 385,443.42 and 138,592 is: 207,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,923.28 : 385,443.42 = 138,592 : x
  2. Step 2: Convert to fraction form
    256,923.28/385,443.42 = 138,592/x
  3. Step 3: Cross multiply
    256,923.28x = 385,443.42 × 138,592
  4. Step 4: Simplify right side
    256,923.28x = 53,419,374,464.64
  5. Step 5: Solve for x
    x = 53,419,374,464.64/256,923.28
  6. Step 6: Final answer
    x = 207,919.56

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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.