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Finding the Fourth Proportional to 538,449.20, 806,982.60 and 327,863.60

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Solution

The fourth proportional to 538,449.20, 806,982.60 and 327,863.60 is: 491,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,449.20 : 806,982.60 = 327,863.60 : x
  2. Step 2: Convert to fraction form
    538,449.20/806,982.60 = 327,863.60/x
  3. Step 3: Cross multiply
    538,449.20x = 806,982.60 × 327,863.60
  4. Step 4: Simplify right side
    538,449.20x = 264,580,220,373.36
  5. Step 5: Solve for x
    x = 264,580,220,373.36/538,449.20
  6. Step 6: Final answer
    x = 491,374.53

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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.