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Finding the Fourth Proportional to 256,965.78, 385,227.01 and 123,662.66

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Solution

The fourth proportional to 256,965.78, 385,227.01 and 123,662.66 is: 185,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,965.78 : 385,227.01 = 123,662.66 : x
  2. Step 2: Convert to fraction form
    256,965.78/385,227.01 = 123,662.66/x
  3. Step 3: Cross multiply
    256,965.78x = 385,227.01 × 123,662.66
  4. Step 4: Simplify right side
    256,965.78x = 47,638,196,760.45
  5. Step 5: Solve for x
    x = 47,638,196,760.45/256,965.78
  6. Step 6: Final answer
    x = 185,387.32

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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.