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Finding the Fourth Proportional to 256,076.70, 384,115.05 and 136,502.48

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Solution

The fourth proportional to 256,076.70, 384,115.05 and 136,502.48 is: 204,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076.70 : 384,115.05 = 136,502.48 : x
  2. Step 2: Convert to fraction form
    256,076.70/384,115.05 = 136,502.48/x
  3. Step 3: Cross multiply
    256,076.70x = 384,115.05 × 136,502.48
  4. Step 4: Simplify right side
    256,076.70x = 52,432,655,009.75
  5. Step 5: Solve for x
    x = 52,432,655,009.75/256,076.70
  6. Step 6: Final answer
    x = 204,753.71

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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.