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Finding the Fourth Proportional to 327,524.49, 490,958.78 and 138,030.57

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Solution

The fourth proportional to 327,524.49, 490,958.78 and 138,030.57 is: 206,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,524.49 : 490,958.78 = 138,030.57 : x
  2. Step 2: Convert to fraction form
    327,524.49/490,958.78 = 138,030.57/x
  3. Step 3: Cross multiply
    327,524.49x = 490,958.78 × 138,030.57
  4. Step 4: Simplify right side
    327,524.49x = 67,767,319,559.75
  5. Step 5: Solve for x
    x = 67,767,319,559.75/327,524.49
  6. Step 6: Final answer
    x = 206,907.64

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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.