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Finding the Fourth Proportional to 263,309.84, 394,046.22 and 215,370.80

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Solution

The fourth proportional to 263,309.84, 394,046.22 and 215,370.80 is: 322,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,309.84 : 394,046.22 = 215,370.80 : x
  2. Step 2: Convert to fraction form
    263,309.84/394,046.22 = 215,370.80/x
  3. Step 3: Cross multiply
    263,309.84x = 394,046.22 × 215,370.80
  4. Step 4: Simplify right side
    263,309.84x = 84,866,049,638.38
  5. Step 5: Solve for x
    x = 84,866,049,638.38/263,309.84
  6. Step 6: Final answer
    x = 322,304.89

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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.