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Finding the Fourth Proportional to 285,204, 393,685.20 and 165,972

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Solution

The fourth proportional to 285,204, 393,685.20 and 165,972 is: 229,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,204 : 393,685.20 = 165,972 : x
  2. Step 2: Convert to fraction form
    285,204/393,685.20 = 165,972/x
  3. Step 3: Cross multiply
    285,204x = 393,685.20 × 165,972
  4. Step 4: Simplify right side
    285,204x = 65,340,720,014.40
  5. Step 5: Solve for x
    x = 65,340,720,014.40/285,204
  6. Step 6: Final answer
    x = 229,101.70

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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.