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Finding the Fourth Proportional to 395,823.75, 594,049.08 and 206,338.43

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Solution

The fourth proportional to 395,823.75, 594,049.08 and 206,338.43 is: 309,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,823.75 : 594,049.08 = 206,338.43 : x
  2. Step 2: Convert to fraction form
    395,823.75/594,049.08 = 206,338.43/x
  3. Step 3: Cross multiply
    395,823.75x = 594,049.08 × 206,338.43
  4. Step 4: Simplify right side
    395,823.75x = 122,575,151,539.90
  5. Step 5: Solve for x
    x = 122,575,151,539.90/395,823.75
  6. Step 6: Final answer
    x = 309,671.04

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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.