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Finding the Fourth Proportional to 327,101.60, 490,263.60 and 137,561.60

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Solution

The fourth proportional to 327,101.60, 490,263.60 and 137,561.60 is: 206,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,101.60 : 490,263.60 = 137,561.60 : x
  2. Step 2: Convert to fraction form
    327,101.60/490,263.60 = 137,561.60/x
  3. Step 3: Cross multiply
    327,101.60x = 490,263.60 × 137,561.60
  4. Step 4: Simplify right side
    327,101.60x = 67,441,445,237.76
  5. Step 5: Solve for x
    x = 67,441,445,237.76/327,101.60
  6. Step 6: Final answer
    x = 206,178.89

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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.