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Finding the Fourth Proportional to 327,039.20, 490,631.70 and 256,180.40

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Solution

The fourth proportional to 327,039.20, 490,631.70 and 256,180.40 is: 384,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,039.20 : 490,631.70 = 256,180.40 : x
  2. Step 2: Convert to fraction form
    327,039.20/490,631.70 = 256,180.40/x
  3. Step 3: Cross multiply
    327,039.20x = 490,631.70 × 256,180.40
  4. Step 4: Simplify right side
    327,039.20x = 125,690,225,158.68
  5. Step 5: Solve for x
    x = 125,690,225,158.68/327,039.20
  6. Step 6: Final answer
    x = 384,327.70

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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.