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Finding the Fourth Proportional to 494,647, 682,612.95 and 279,782.44

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Solution

The fourth proportional to 494,647, 682,612.95 and 279,782.44 is: 386,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,647 : 682,612.95 = 279,782.44 : x
  2. Step 2: Convert to fraction form
    494,647/682,612.95 = 279,782.44/x
  3. Step 3: Cross multiply
    494,647x = 682,612.95 × 279,782.44
  4. Step 4: Simplify right side
    494,647x = 190,983,116,726.60
  5. Step 5: Solve for x
    x = 190,983,116,726.60/494,647
  6. Step 6: Final answer
    x = 386,099.82

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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.