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Finding the Fourth Proportional to 494,616.96, 682,320.24 and 313,022.88

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Solution

The fourth proportional to 494,616.96, 682,320.24 and 313,022.88 is: 431,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,616.96 : 682,320.24 = 313,022.88 : x
  2. Step 2: Convert to fraction form
    494,616.96/682,320.24 = 313,022.88/x
  3. Step 3: Cross multiply
    494,616.96x = 682,320.24 × 313,022.88
  4. Step 4: Simplify right side
    494,616.96x = 213,581,846,607.09
  5. Step 5: Solve for x
    x = 213,581,846,607.09/494,616.96
  6. Step 6: Final answer
    x = 431,812.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.