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Finding the Fourth Proportional to 256,749.78, 385,133.40 and 88,268.64

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Solution

The fourth proportional to 256,749.78, 385,133.40 and 88,268.64 is: 132,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,749.78 : 385,133.40 = 88,268.64 : x
  2. Step 2: Convert to fraction form
    256,749.78/385,133.40 = 88,268.64/x
  3. Step 3: Cross multiply
    256,749.78x = 385,133.40 × 88,268.64
  4. Step 4: Simplify right side
    256,749.78x = 33,995,201,436.58
  5. Step 5: Solve for x
    x = 33,995,201,436.58/256,749.78
  6. Step 6: Final answer
    x = 132,405.96

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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.