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Finding the Fourth Proportional to 408,449.88, 612,675.09 and 127,989

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Solution

The fourth proportional to 408,449.88, 612,675.09 and 127,989 is: 191,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,449.88 : 612,675.09 = 127,989 : x
  2. Step 2: Convert to fraction form
    408,449.88/612,675.09 = 127,989/x
  3. Step 3: Cross multiply
    408,449.88x = 612,675.09 × 127,989
  4. Step 4: Simplify right side
    408,449.88x = 78,415,672,094.01
  5. Step 5: Solve for x
    x = 78,415,672,094.01/408,449.88
  6. Step 6: Final answer
    x = 191,983.58

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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.