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Finding the Fourth Proportional to 408,193.20, 612,202.32 and 127,674

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Solution

The fourth proportional to 408,193.20, 612,202.32 and 127,674 is: 191,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,193.20 : 612,202.32 = 127,674 : x
  2. Step 2: Convert to fraction form
    408,193.20/612,202.32 = 127,674/x
  3. Step 3: Cross multiply
    408,193.20x = 612,202.32 × 127,674
  4. Step 4: Simplify right side
    408,193.20x = 78,162,319,003.68
  5. Step 5: Solve for x
    x = 78,162,319,003.68/408,193.20
  6. Step 6: Final answer
    x = 191,483.64

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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.