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Finding the Fourth Proportional to 256,648.34, 384,876.63 and 88,120.82

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Solution

The fourth proportional to 256,648.34, 384,876.63 and 88,120.82 is: 132,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,648.34 : 384,876.63 = 88,120.82 : x
  2. Step 2: Convert to fraction form
    256,648.34/384,876.63 = 88,120.82/x
  3. Step 3: Cross multiply
    256,648.34x = 384,876.63 × 88,120.82
  4. Step 4: Simplify right side
    256,648.34x = 33,915,644,234.44
  5. Step 5: Solve for x
    x = 33,915,644,234.44/256,648.34
  6. Step 6: Final answer
    x = 132,148.31

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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.