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Finding the Fourth Proportional to 408,447.88, 612,672.09 and 127,987

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Solution

The fourth proportional to 408,447.88, 612,672.09 and 127,987 is: 191,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,447.88 : 612,672.09 = 127,987 : x
  2. Step 2: Convert to fraction form
    408,447.88/612,672.09 = 127,987/x
  3. Step 3: Cross multiply
    408,447.88x = 612,672.09 × 127,987
  4. Step 4: Simplify right side
    408,447.88x = 78,414,062,782.83
  5. Step 5: Solve for x
    x = 78,414,062,782.83/408,447.88
  6. Step 6: Final answer
    x = 191,980.58

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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.