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Finding the Fourth Proportional to 256,630.41, 384,912.72 and 106,842.78

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Solution

The fourth proportional to 256,630.41, 384,912.72 and 106,842.78 is: 160,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,630.41 : 384,912.72 = 106,842.78 : x
  2. Step 2: Convert to fraction form
    256,630.41/384,912.72 = 106,842.78/x
  3. Step 3: Cross multiply
    256,630.41x = 384,912.72 × 106,842.78
  4. Step 4: Simplify right side
    256,630.41x = 41,125,145,062.16
  5. Step 5: Solve for x
    x = 41,125,145,062.16/256,630.41
  6. Step 6: Final answer
    x = 160,250.47

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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.