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Finding the Fourth Proportional to 256,672.27, 384,687.64 and 123,516.78

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Solution

The fourth proportional to 256,672.27, 384,687.64 and 123,516.78 is: 185,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,672.27 : 384,687.64 = 123,516.78 : x
  2. Step 2: Convert to fraction form
    256,672.27/384,687.64 = 123,516.78/x
  3. Step 3: Cross multiply
    256,672.27x = 384,687.64 × 123,516.78
  4. Step 4: Simplify right side
    256,672.27x = 47,515,378,598.60
  5. Step 5: Solve for x
    x = 47,515,378,598.60/256,672.27
  6. Step 6: Final answer
    x = 185,120.81

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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.