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Finding the Fourth Proportional to 285,206, 393,687.96 and 165,974

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Solution

The fourth proportional to 285,206, 393,687.96 and 165,974 is: 229,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,206 : 393,687.96 = 165,974 : x
  2. Step 2: Convert to fraction form
    285,206/393,687.96 = 165,974/x
  3. Step 3: Cross multiply
    285,206x = 393,687.96 × 165,974
  4. Step 4: Simplify right side
    285,206x = 65,341,965,473.04
  5. Step 5: Solve for x
    x = 65,341,965,473.04/285,206
  6. Step 6: Final answer
    x = 229,104.46

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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.