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Finding the Fourth Proportional to 494,660.88, 682,569.96 and 293,418

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Solution

The fourth proportional to 494,660.88, 682,569.96 and 293,418 is: 404,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,660.88 : 682,569.96 = 293,418 : x
  2. Step 2: Convert to fraction form
    494,660.88/682,569.96 = 293,418/x
  3. Step 3: Cross multiply
    494,660.88x = 682,569.96 × 293,418
  4. Step 4: Simplify right side
    494,660.88x = 200,278,312,523.28
  5. Step 5: Solve for x
    x = 200,278,312,523.28/494,660.88
  6. Step 6: Final answer
    x = 404,880.03

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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.