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Finding the Fourth Proportional to 418,060.89, 627,104.34 and 198,922.73

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Solution

The fourth proportional to 418,060.89, 627,104.34 and 198,922.73 is: 298,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,060.89 : 627,104.34 = 198,922.73 : x
  2. Step 2: Convert to fraction form
    418,060.89/627,104.34 = 198,922.73/x
  3. Step 3: Cross multiply
    418,060.89x = 627,104.34 × 198,922.73
  4. Step 4: Simplify right side
    418,060.89x = 124,745,304,172.13
  5. Step 5: Solve for x
    x = 124,745,304,172.13/418,060.89
  6. Step 6: Final answer
    x = 298,390.28

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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.