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Finding the Fourth Proportional to 327,129.60, 490,694.40 and 220,841.40

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Solution

The fourth proportional to 327,129.60, 490,694.40 and 220,841.40 is: 331,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,129.60 : 490,694.40 = 220,841.40 : x
  2. Step 2: Convert to fraction form
    327,129.60/490,694.40 = 220,841.40/x
  3. Step 3: Cross multiply
    327,129.60x = 490,694.40 × 220,841.40
  4. Step 4: Simplify right side
    327,129.60x = 108,365,638,268.16
  5. Step 5: Solve for x
    x = 108,365,638,268.16/327,129.60
  6. Step 6: Final answer
    x = 331,262.10

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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.