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Finding the Fourth Proportional to 256,930.56, 385,404.26 and 88,449.10

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Solution

The fourth proportional to 256,930.56, 385,404.26 and 88,449.10 is: 132,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,930.56 : 385,404.26 = 88,449.10 : x
  2. Step 2: Convert to fraction form
    256,930.56/385,404.26 = 88,449.10/x
  3. Step 3: Cross multiply
    256,930.56x = 385,404.26 × 88,449.10
  4. Step 4: Simplify right side
    256,930.56x = 34,088,658,527.41
  5. Step 5: Solve for x
    x = 34,088,658,527.41/256,930.56
  6. Step 6: Final answer
    x = 132,676.54

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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.