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Finding the Fourth Proportional to 256,579.68, 354,072.96 and 140,288.88

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Solution

The fourth proportional to 256,579.68, 354,072.96 and 140,288.88 is: 193,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,579.68 : 354,072.96 = 140,288.88 : x
  2. Step 2: Convert to fraction form
    256,579.68/354,072.96 = 140,288.88/x
  3. Step 3: Cross multiply
    256,579.68x = 354,072.96 × 140,288.88
  4. Step 4: Simplify right side
    256,579.68x = 49,672,498,996.68
  5. Step 5: Solve for x
    x = 49,672,498,996.68/256,579.68
  6. Step 6: Final answer
    x = 193,594.83

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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.