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Finding the Fourth Proportional to 288,957.47, 398,791.31 and 166,454.10

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Solution

The fourth proportional to 288,957.47, 398,791.31 and 166,454.10 is: 229,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,957.47 : 398,791.31 = 166,454.10 : x
  2. Step 2: Convert to fraction form
    288,957.47/398,791.31 = 166,454.10/x
  3. Step 3: Cross multiply
    288,957.47x = 398,791.31 × 166,454.10
  4. Step 4: Simplify right side
    288,957.47x = 66,380,447,761.60
  5. Step 5: Solve for x
    x = 66,380,447,761.60/288,957.47
  6. Step 6: Final answer
    x = 229,723.94

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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.