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Finding the Fourth Proportional to 271,485.96, 406,469.10 and 204,717.12

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Solution

The fourth proportional to 271,485.96, 406,469.10 and 204,717.12 is: 306,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,485.96 : 406,469.10 = 204,717.12 : x
  2. Step 2: Convert to fraction form
    271,485.96/406,469.10 = 204,717.12/x
  3. Step 3: Cross multiply
    271,485.96x = 406,469.10 × 204,717.12
  4. Step 4: Simplify right side
    271,485.96x = 83,211,183,520.99
  5. Step 5: Solve for x
    x = 83,211,183,520.99/271,485.96
  6. Step 6: Final answer
    x = 306,502.71

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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.