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Finding the Fourth Proportional to 257,023.62, 354,650.28 and 161,462.64

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Solution

The fourth proportional to 257,023.62, 354,650.28 and 161,462.64 is: 222,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.62 : 354,650.28 = 161,462.64 : x
  2. Step 2: Convert to fraction form
    257,023.62/354,650.28 = 161,462.64/x
  3. Step 3: Cross multiply
    257,023.62x = 354,650.28 × 161,462.64
  4. Step 4: Simplify right side
    257,023.62x = 57,262,770,485.54
  5. Step 5: Solve for x
    x = 57,262,770,485.54/257,023.62
  6. Step 6: Final answer
    x = 222,791.86

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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.