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Finding the Fourth Proportional to 395,821.75, 594,046.09 and 206,336.42

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Solution

The fourth proportional to 395,821.75, 594,046.09 and 206,336.42 is: 309,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,821.75 : 594,046.09 = 206,336.42 : x
  2. Step 2: Convert to fraction form
    395,821.75/594,046.09 = 206,336.42/x
  3. Step 3: Cross multiply
    395,821.75x = 594,046.09 × 206,336.42
  4. Step 4: Simplify right side
    395,821.75x = 122,573,342,493.92
  5. Step 5: Solve for x
    x = 122,573,342,493.92/395,821.75
  6. Step 6: Final answer
    x = 309,668.04

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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.