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Finding the Fourth Proportional to 204,419.20, 307,147.20 and 181,609.60

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Solution

The fourth proportional to 204,419.20, 307,147.20 and 181,609.60 is: 272,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,419.20 : 307,147.20 = 181,609.60 : x
  2. Step 2: Convert to fraction form
    204,419.20/307,147.20 = 181,609.60/x
  3. Step 3: Cross multiply
    204,419.20x = 307,147.20 × 181,609.60
  4. Step 4: Simplify right side
    204,419.20x = 55,780,880,133.12
  5. Step 5: Solve for x
    x = 55,780,880,133.12/204,419.20
  6. Step 6: Final answer
    x = 272,874.96

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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.