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Finding the Fourth Proportional to 327,168, 490,867.20 and 161,072.64

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Solution

The fourth proportional to 327,168, 490,867.20 and 161,072.64 is: 241,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,168 : 490,867.20 = 161,072.64 : x
  2. Step 2: Convert to fraction form
    327,168/490,867.20 = 161,072.64/x
  3. Step 3: Cross multiply
    327,168x = 490,867.20 × 161,072.64
  4. Step 4: Simplify right side
    327,168x = 79,065,275,793.41
  5. Step 5: Solve for x
    x = 79,065,275,793.41/327,168
  6. Step 6: Final answer
    x = 241,665.68

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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.