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Finding the Fourth Proportional to 411,944.51, 617,691.51 and 327,100.38

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Solution

The fourth proportional to 411,944.51, 617,691.51 and 327,100.38 is: 490,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,944.51 : 617,691.51 = 327,100.38 : x
  2. Step 2: Convert to fraction form
    411,944.51/617,691.51 = 327,100.38/x
  3. Step 3: Cross multiply
    411,944.51x = 617,691.51 × 327,100.38
  4. Step 4: Simplify right side
    411,944.51x = 202,047,126,723.80
  5. Step 5: Solve for x
    x = 202,047,126,723.80/411,944.51
  6. Step 6: Final answer
    x = 490,471.71

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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.