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Finding the Fourth Proportional to 256,253.37, 384,251.01 and 85,414.59

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Solution

The fourth proportional to 256,253.37, 384,251.01 and 85,414.59 is: 128,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,253.37 : 384,251.01 = 85,414.59 : x
  2. Step 2: Convert to fraction form
    256,253.37/384,251.01 = 85,414.59/x
  3. Step 3: Cross multiply
    256,253.37x = 384,251.01 × 85,414.59
  4. Step 4: Simplify right side
    256,253.37x = 32,820,642,476.24
  5. Step 5: Solve for x
    x = 32,820,642,476.24/256,253.37
  6. Step 6: Final answer
    x = 128,078.87

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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.