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Finding the Fourth Proportional to 271,205.75, 406,876.39 and 191,399.54

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Solution

The fourth proportional to 271,205.75, 406,876.39 and 191,399.54 is: 287,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,205.75 : 406,876.39 = 191,399.54 : x
  2. Step 2: Convert to fraction form
    271,205.75/406,876.39 = 191,399.54/x
  3. Step 3: Cross multiply
    271,205.75x = 406,876.39 × 191,399.54
  4. Step 4: Simplify right side
    271,205.75x = 77,875,954,421.55
  5. Step 5: Solve for x
    x = 77,875,954,421.55/271,205.75
  6. Step 6: Final answer
    x = 287,147.13

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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.