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Finding the Fourth Proportional to 316,982.70, 437,480.92 and 196,162.88

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Solution

The fourth proportional to 316,982.70, 437,480.92 and 196,162.88 is: 270,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,982.70 : 437,480.92 = 196,162.88 : x
  2. Step 2: Convert to fraction form
    316,982.70/437,480.92 = 196,162.88/x
  3. Step 3: Cross multiply
    316,982.70x = 437,480.92 × 196,162.88
  4. Step 4: Simplify right side
    316,982.70x = 85,817,517,212.25
  5. Step 5: Solve for x
    x = 85,817,517,212.25/316,982.70
  6. Step 6: Final answer
    x = 270,732.49

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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.