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Finding the Fourth Proportional to 285,291, 393,805.26 and 166,059

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Solution

The fourth proportional to 285,291, 393,805.26 and 166,059 is: 229,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,291 : 393,805.26 = 166,059 : x
  2. Step 2: Convert to fraction form
    285,291/393,805.26 = 166,059/x
  3. Step 3: Cross multiply
    285,291x = 393,805.26 × 166,059
  4. Step 4: Simplify right side
    285,291x = 65,394,907,670.34
  5. Step 5: Solve for x
    x = 65,394,907,670.34/285,291
  6. Step 6: Final answer
    x = 229,221.77

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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.