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Finding the Fourth Proportional to 256,671.27, 384,686.15 and 123,515.78

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Solution

The fourth proportional to 256,671.27, 384,686.15 and 123,515.78 is: 185,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671.27 : 384,686.15 = 123,515.78 : x
  2. Step 2: Convert to fraction form
    256,671.27/384,686.15 = 123,515.78/x
  3. Step 3: Cross multiply
    256,671.27x = 384,686.15 × 123,515.78
  4. Step 4: Simplify right side
    256,671.27x = 47,514,807,331.44
  5. Step 5: Solve for x
    x = 47,514,807,331.44/256,671.27
  6. Step 6: Final answer
    x = 185,119.31

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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.