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Finding the Fourth Proportional to 271,857.70, 407,786.55 and 187,876.90

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Solution

The fourth proportional to 271,857.70, 407,786.55 and 187,876.90 is: 281,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,857.70 : 407,786.55 = 187,876.90 : x
  2. Step 2: Convert to fraction form
    271,857.70/407,786.55 = 187,876.90/x
  3. Step 3: Cross multiply
    271,857.70x = 407,786.55 × 187,876.90
  4. Step 4: Simplify right side
    271,857.70x = 76,613,672,875.70
  5. Step 5: Solve for x
    x = 76,613,672,875.70/271,857.70
  6. Step 6: Final answer
    x = 281,815.35

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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.