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Finding the Fourth Proportional to 288,591.96, 398,249.28 and 161,268.60

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Solution

The fourth proportional to 288,591.96, 398,249.28 and 161,268.60 is: 222,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,591.96 : 398,249.28 = 161,268.60 : x
  2. Step 2: Convert to fraction form
    288,591.96/398,249.28 = 161,268.60/x
  3. Step 3: Cross multiply
    288,591.96x = 398,249.28 × 161,268.60
  4. Step 4: Simplify right side
    288,591.96x = 64,225,103,836.61
  5. Step 5: Solve for x
    x = 64,225,103,836.61/288,591.96
  6. Step 6: Final answer
    x = 222,546.41

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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.