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Finding the Fourth Proportional to 327,168.69, 490,403.12 and 149,409.33

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Solution

The fourth proportional to 327,168.69, 490,403.12 and 149,409.33 is: 223,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,168.69 : 490,403.12 = 149,409.33 : x
  2. Step 2: Convert to fraction form
    327,168.69/490,403.12 = 149,409.33/x
  3. Step 3: Cross multiply
    327,168.69x = 490,403.12 × 149,409.33
  4. Step 4: Simplify right side
    327,168.69x = 73,270,800,842.06
  5. Step 5: Solve for x
    x = 73,270,800,842.06/327,168.69
  6. Step 6: Final answer
    x = 223,954.20

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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.