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Finding the Fourth Proportional to 272,745.36, 409,156.92 and 132,408

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Solution

The fourth proportional to 272,745.36, 409,156.92 and 132,408 is: 198,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,745.36 : 409,156.92 = 132,408 : x
  2. Step 2: Convert to fraction form
    272,745.36/409,156.92 = 132,408/x
  3. Step 3: Cross multiply
    272,745.36x = 409,156.92 × 132,408
  4. Step 4: Simplify right side
    272,745.36x = 54,175,649,463.36
  5. Step 5: Solve for x
    x = 54,175,649,463.36/272,745.36
  6. Step 6: Final answer
    x = 198,630.87

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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.