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Finding the Fourth Proportional to 288,791.52, 398,544.96 and 161,467.20

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Solution

The fourth proportional to 288,791.52, 398,544.96 and 161,467.20 is: 222,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,791.52 : 398,544.96 = 161,467.20 : x
  2. Step 2: Convert to fraction form
    288,791.52/398,544.96 = 161,467.20/x
  3. Step 3: Cross multiply
    288,791.52x = 398,544.96 × 161,467.20
  4. Step 4: Simplify right side
    288,791.52x = 64,351,938,765.31
  5. Step 5: Solve for x
    x = 64,351,938,765.31/288,791.52
  6. Step 6: Final answer
    x = 222,831.82

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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.