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Finding the Fourth Proportional to 263,243.88, 394,874.46 and 76,257

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Solution

The fourth proportional to 263,243.88, 394,874.46 and 76,257 is: 114,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,243.88 : 394,874.46 = 76,257 : x
  2. Step 2: Convert to fraction form
    263,243.88/394,874.46 = 76,257/x
  3. Step 3: Cross multiply
    263,243.88x = 394,874.46 × 76,257
  4. Step 4: Simplify right side
    263,243.88x = 30,111,941,696.22
  5. Step 5: Solve for x
    x = 30,111,941,696.22/263,243.88
  6. Step 6: Final answer
    x = 114,388.00

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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.