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Finding the Fourth Proportional to 299,974.40, 449,969.72 and 131,408

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Solution

The fourth proportional to 299,974.40, 449,969.72 and 131,408 is: 197,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,974.40 : 449,969.72 = 131,408 : x
  2. Step 2: Convert to fraction form
    299,974.40/449,969.72 = 131,408/x
  3. Step 3: Cross multiply
    299,974.40x = 449,969.72 × 131,408
  4. Step 4: Simplify right side
    299,974.40x = 59,129,620,965.76
  5. Step 5: Solve for x
    x = 59,129,620,965.76/299,974.40
  6. Step 6: Final answer
    x = 197,115.56

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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.