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Finding the Fourth Proportional to 256,251.75, 384,248.58 and 85,412.96

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Solution

The fourth proportional to 256,251.75, 384,248.58 and 85,412.96 is: 128,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,251.75 : 384,248.58 = 85,412.96 : x
  2. Step 2: Convert to fraction form
    256,251.75/384,248.58 = 85,412.96/x
  3. Step 3: Cross multiply
    256,251.75x = 384,248.58 × 85,412.96
  4. Step 4: Simplify right side
    256,251.75x = 32,819,808,593.60
  5. Step 5: Solve for x
    x = 32,819,808,593.60/256,251.75
  6. Step 6: Final answer
    x = 128,076.43

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1.5x scale

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.