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Finding the Fourth Proportional to 256,861.74, 354,540.44 and 149,452.52

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Solution

The fourth proportional to 256,861.74, 354,540.44 and 149,452.52 is: 206,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,861.74 : 354,540.44 = 149,452.52 : x
  2. Step 2: Convert to fraction form
    256,861.74/354,540.44 = 149,452.52/x
  3. Step 3: Cross multiply
    256,861.74x = 354,540.44 × 149,452.52
  4. Step 4: Simplify right side
    256,861.74x = 52,986,962,199.91
  5. Step 5: Solve for x
    x = 52,986,962,199.91/256,861.74
  6. Step 6: Final answer
    x = 206,285.93

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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.