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Finding the Fourth Proportional to 256,738.44, 385,116.44 and 88,257.32

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Solution

The fourth proportional to 256,738.44, 385,116.44 and 88,257.32 is: 132,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738.44 : 385,116.44 = 88,257.32 : x
  2. Step 2: Convert to fraction form
    256,738.44/385,116.44 = 88,257.32/x
  3. Step 3: Cross multiply
    256,738.44x = 385,116.44 × 88,257.32
  4. Step 4: Simplify right side
    256,738.44x = 33,989,342,515.47
  5. Step 5: Solve for x
    x = 33,989,342,515.47/256,738.44
  6. Step 6: Final answer
    x = 132,388.99

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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.