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Finding the Fourth Proportional to 271,020.72, 406,314 and 128,794.62

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Solution

The fourth proportional to 271,020.72, 406,314 and 128,794.62 is: 193,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,020.72 : 406,314 = 128,794.62 : x
  2. Step 2: Convert to fraction form
    271,020.72/406,314 = 128,794.62/x
  3. Step 3: Cross multiply
    271,020.72x = 406,314 × 128,794.62
  4. Step 4: Simplify right side
    271,020.72x = 52,331,057,230.68
  5. Step 5: Solve for x
    x = 52,331,057,230.68/271,020.72
  6. Step 6: Final answer
    x = 193,088.77

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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.