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Finding the Fourth Proportional to 408,080.28, 612,023.22 and 171,427.56

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Solution

The fourth proportional to 408,080.28, 612,023.22 and 171,427.56 is: 257,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,080.28 : 612,023.22 = 171,427.56 : x
  2. Step 2: Convert to fraction form
    408,080.28/612,023.22 = 171,427.56/x
  3. Step 3: Cross multiply
    408,080.28x = 612,023.22 × 171,427.56
  4. Step 4: Simplify right side
    408,080.28x = 104,917,647,267.94
  5. Step 5: Solve for x
    x = 104,917,647,267.94/408,080.28
  6. Step 6: Final answer
    x = 257,100.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.