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Finding the Fourth Proportional to 288,568.86, 398,224.19 and 161,244.56

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Solution

The fourth proportional to 288,568.86, 398,224.19 and 161,244.56 is: 222,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,568.86 : 398,224.19 = 161,244.56 : x
  2. Step 2: Convert to fraction form
    288,568.86/398,224.19 = 161,244.56/x
  3. Step 3: Cross multiply
    288,568.86x = 398,224.19 × 161,244.56
  4. Step 4: Simplify right side
    288,568.86x = 64,211,481,500.56
  5. Step 5: Solve for x
    x = 64,211,481,500.56/288,568.86
  6. Step 6: Final answer
    x = 222,517.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.