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Finding the Fourth Proportional to 323,079.75, 445,842.69 and 202,287.66

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Solution

The fourth proportional to 323,079.75, 445,842.69 and 202,287.66 is: 279,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,079.75 : 445,842.69 = 202,287.66 : x
  2. Step 2: Convert to fraction form
    323,079.75/445,842.69 = 202,287.66/x
  3. Step 3: Cross multiply
    323,079.75x = 445,842.69 × 202,287.66
  4. Step 4: Simplify right side
    323,079.75x = 90,188,474,488.21
  5. Step 5: Solve for x
    x = 90,188,474,488.21/323,079.75
  6. Step 6: Final answer
    x = 279,152.36

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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.