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Finding the Fourth Proportional to 408,106.28, 612,062.22 and 171,453.56

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Solution

The fourth proportional to 408,106.28, 612,062.22 and 171,453.56 is: 257,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.28 : 612,062.22 = 171,453.56 : x
  2. Step 2: Convert to fraction form
    408,106.28/612,062.22 = 171,453.56/x
  3. Step 3: Cross multiply
    408,106.28x = 612,062.22 × 171,453.56
  4. Step 4: Simplify right side
    408,106.28x = 104,940,246,560.50
  5. Step 5: Solve for x
    x = 104,940,246,560.50/408,106.28
  6. Step 6: Final answer
    x = 257,139.50

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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.