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Finding the Fourth Proportional to 256,965.78, 385,448.67 and 88,490.25

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Solution

The fourth proportional to 256,965.78, 385,448.67 and 88,490.25 is: 132,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,965.78 : 385,448.67 = 88,490.25 : x
  2. Step 2: Convert to fraction form
    256,965.78/385,448.67 = 88,490.25/x
  3. Step 3: Cross multiply
    256,965.78x = 385,448.67 × 88,490.25
  4. Step 4: Simplify right side
    256,965.78x = 34,108,449,170.47
  5. Step 5: Solve for x
    x = 34,108,449,170.47/256,965.78
  6. Step 6: Final answer
    x = 132,735.38

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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.