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Finding the Fourth Proportional to 256,927.76, 385,295.80 and 88,400.88

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Solution

The fourth proportional to 256,927.76, 385,295.80 and 88,400.88 is: 132,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,927.76 : 385,295.80 = 88,400.88 : x
  2. Step 2: Convert to fraction form
    256,927.76/385,295.80 = 88,400.88/x
  3. Step 3: Cross multiply
    256,927.76x = 385,295.80 × 88,400.88
  4. Step 4: Simplify right side
    256,927.76x = 34,060,487,780.30
  5. Step 5: Solve for x
    x = 34,060,487,780.30/256,927.76
  6. Step 6: Final answer
    x = 132,568.34

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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.