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Finding the Fourth Proportional to 256,397.67, 384,596.78 and 66,857.87

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Solution

The fourth proportional to 256,397.67, 384,596.78 and 66,857.87 is: 100,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,397.67 : 384,596.78 = 66,857.87 : x
  2. Step 2: Convert to fraction form
    256,397.67/384,596.78 = 66,857.87/x
  3. Step 3: Cross multiply
    256,397.67x = 384,596.78 × 66,857.87
  4. Step 4: Simplify right side
    256,397.67x = 25,713,322,146.86
  5. Step 5: Solve for x
    x = 25,713,322,146.86/256,397.67
  6. Step 6: Final answer
    x = 100,286.88

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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.