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Finding the Fourth Proportional to 494,782.94, 682,801.78 and 268,428.44

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Solution

The fourth proportional to 494,782.94, 682,801.78 and 268,428.44 is: 370,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,782.94 : 682,801.78 = 268,428.44 : x
  2. Step 2: Convert to fraction form
    494,782.94/682,801.78 = 268,428.44/x
  3. Step 3: Cross multiply
    494,782.94x = 682,801.78 × 268,428.44
  4. Step 4: Simplify right side
    494,782.94x = 183,283,416,634.62
  5. Step 5: Solve for x
    x = 183,283,416,634.62/494,782.94
  6. Step 6: Final answer
    x = 370,431.96

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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.