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Finding the Fourth Proportional to 256,123.60, 383,695.80 and 137,755.60

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Solution

The fourth proportional to 256,123.60, 383,695.80 and 137,755.60 is: 206,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,123.60 : 383,695.80 = 137,755.60 : x
  2. Step 2: Convert to fraction form
    256,123.60/383,695.80 = 137,755.60/x
  3. Step 3: Cross multiply
    256,123.60x = 383,695.80 × 137,755.60
  4. Step 4: Simplify right side
    256,123.60x = 52,856,245,146.48
  5. Step 5: Solve for x
    x = 52,856,245,146.48/256,123.60
  6. Step 6: Final answer
    x = 206,370.07

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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.