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Finding the Fourth Proportional to 256,772.64, 385,059.44 and 88,261.28

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Solution

The fourth proportional to 256,772.64, 385,059.44 and 88,261.28 is: 132,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,772.64 : 385,059.44 = 88,261.28 : x
  2. Step 2: Convert to fraction form
    256,772.64/385,059.44 = 88,261.28/x
  3. Step 3: Cross multiply
    256,772.64x = 385,059.44 × 88,261.28
  4. Step 4: Simplify right side
    256,772.64x = 33,985,839,050.48
  5. Step 5: Solve for x
    x = 33,985,839,050.48/256,772.64
  6. Step 6: Final answer
    x = 132,357.71

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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.