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Finding the Fourth Proportional to 494,649.54, 682,631.85 and 279,785.31

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Solution

The fourth proportional to 494,649.54, 682,631.85 and 279,785.31 is: 386,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,649.54 : 682,631.85 = 279,785.31 : x
  2. Step 2: Convert to fraction form
    494,649.54/682,631.85 = 279,785.31/x
  3. Step 3: Cross multiply
    494,649.54x = 682,631.85 × 279,785.31
  4. Step 4: Simplify right side
    494,649.54x = 190,990,363,768.12
  5. Step 5: Solve for x
    x = 190,990,363,768.12/494,649.54
  6. Step 6: Final answer
    x = 386,112.49

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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.