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Finding the Fourth Proportional to 494,169.25, 682,026.74 and 312,898

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Solution

The fourth proportional to 494,169.25, 682,026.74 and 312,898 is: 431,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,169.25 : 682,026.74 = 312,898 : x
  2. Step 2: Convert to fraction form
    494,169.25/682,026.74 = 312,898/x
  3. Step 3: Cross multiply
    494,169.25x = 682,026.74 × 312,898
  4. Step 4: Simplify right side
    494,169.25x = 213,404,802,892.52
  5. Step 5: Solve for x
    x = 213,404,802,892.52/494,169.25
  6. Step 6: Final answer
    x = 431,845.57

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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.