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Finding the Fourth Proportional to 256,604.60, 384,796.80 and 88,141.88

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Solution

The fourth proportional to 256,604.60, 384,796.80 and 88,141.88 is: 132,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604.60 : 384,796.80 = 88,141.88 : x
  2. Step 2: Convert to fraction form
    256,604.60/384,796.80 = 88,141.88/x
  3. Step 3: Cross multiply
    256,604.60x = 384,796.80 × 88,141.88
  4. Step 4: Simplify right side
    256,604.60x = 33,916,713,369.98
  5. Step 5: Solve for x
    x = 33,916,713,369.98/256,604.60
  6. Step 6: Final answer
    x = 132,175.00

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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.