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Finding the Fourth Proportional to 256,252.87, 384,250.27 and 85,414.08

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Solution

The fourth proportional to 256,252.87, 384,250.27 and 85,414.08 is: 128,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,252.87 : 384,250.27 = 85,414.08 : x
  2. Step 2: Convert to fraction form
    256,252.87/384,250.27 = 85,414.08/x
  3. Step 3: Cross multiply
    256,252.87x = 384,250.27 × 85,414.08
  4. Step 4: Simplify right side
    256,252.87x = 32,820,383,301.80
  5. Step 5: Solve for x
    x = 32,820,383,301.80/256,252.87
  6. Step 6: Final answer
    x = 128,078.11

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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.