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Finding the Fourth Proportional to 271,408.70, 407,113.05 and 187,427.90

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Solution

The fourth proportional to 271,408.70, 407,113.05 and 187,427.90 is: 281,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408.70 : 407,113.05 = 187,427.90 : x
  2. Step 2: Convert to fraction form
    271,408.70/407,113.05 = 187,427.90/x
  3. Step 3: Cross multiply
    271,408.70x = 407,113.05 × 187,427.90
  4. Step 4: Simplify right side
    271,408.70x = 76,304,344,024.10
  5. Step 5: Solve for x
    x = 76,304,344,024.10/271,408.70
  6. Step 6: Final answer
    x = 281,141.85

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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.