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Finding the Fourth Proportional to 322,752.90, 445,093.26 and 206,503.12

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Solution

The fourth proportional to 322,752.90, 445,093.26 and 206,503.12 is: 284,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,752.90 : 445,093.26 = 206,503.12 : x
  2. Step 2: Convert to fraction form
    322,752.90/445,093.26 = 206,503.12/x
  3. Step 3: Cross multiply
    322,752.90x = 445,093.26 × 206,503.12
  4. Step 4: Simplify right side
    322,752.90x = 91,913,146,880.97
  5. Step 5: Solve for x
    x = 91,913,146,880.97/322,752.90
  6. Step 6: Final answer
    x = 284,778.69

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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.