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Finding the Fourth Proportional to 256,863, 354,471 and 143,685.72

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Solution

The fourth proportional to 256,863, 354,471 and 143,685.72 is: 198,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,863 : 354,471 = 143,685.72 : x
  2. Step 2: Convert to fraction form
    256,863/354,471 = 143,685.72/x
  3. Step 3: Cross multiply
    256,863x = 354,471 × 143,685.72
  4. Step 4: Simplify right side
    256,863x = 50,932,420,854.12
  5. Step 5: Solve for x
    x = 50,932,420,854.12/256,863
  6. Step 6: Final answer
    x = 198,286.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.