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Finding the Fourth Proportional to 327,086.40, 490,629.60 and 256,227.60

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Solution

The fourth proportional to 327,086.40, 490,629.60 and 256,227.60 is: 384,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,086.40 : 490,629.60 = 256,227.60 : x
  2. Step 2: Convert to fraction form
    327,086.40/490,629.60 = 256,227.60/x
  3. Step 3: Cross multiply
    327,086.40x = 490,629.60 × 256,227.60
  4. Step 4: Simplify right side
    327,086.40x = 125,712,844,896.96
  5. Step 5: Solve for x
    x = 125,712,844,896.96/327,086.40
  6. Step 6: Final answer
    x = 384,341.40

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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.