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Finding the Fourth Proportional to 256,965.66, 385,227.18 and 123,662.52

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Solution

The fourth proportional to 256,965.66, 385,227.18 and 123,662.52 is: 185,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,965.66 : 385,227.18 = 123,662.52 : x
  2. Step 2: Convert to fraction form
    256,965.66/385,227.18 = 123,662.52/x
  3. Step 3: Cross multiply
    256,965.66x = 385,227.18 × 123,662.52
  4. Step 4: Simplify right side
    256,965.66x = 47,638,163,851.29
  5. Step 5: Solve for x
    x = 47,638,163,851.29/256,965.66
  6. Step 6: Final answer
    x = 185,387.28

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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.