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Finding the Fourth Proportional to 288,519.76, 398,149.92 and 161,196.32

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Solution

The fourth proportional to 288,519.76, 398,149.92 and 161,196.32 is: 222,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,519.76 : 398,149.92 = 161,196.32 : x
  2. Step 2: Convert to fraction form
    288,519.76/398,149.92 = 161,196.32/x
  3. Step 3: Cross multiply
    288,519.76x = 398,149.92 × 161,196.32
  4. Step 4: Simplify right side
    288,519.76x = 64,180,301,912.29
  5. Step 5: Solve for x
    x = 64,180,301,912.29/288,519.76
  6. Step 6: Final answer
    x = 222,446.82

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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.