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Finding the Fourth Proportional to 311,496.72, 430,052.22 and 204,253.80

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Solution

The fourth proportional to 311,496.72, 430,052.22 and 204,253.80 is: 281,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,496.72 : 430,052.22 = 204,253.80 : x
  2. Step 2: Convert to fraction form
    311,496.72/430,052.22 = 204,253.80/x
  3. Step 3: Cross multiply
    311,496.72x = 430,052.22 × 204,253.80
  4. Step 4: Simplify right side
    311,496.72x = 87,839,800,133.44
  5. Step 5: Solve for x
    x = 87,839,800,133.44/311,496.72
  6. Step 6: Final answer
    x = 281,992.70

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1.5x scale

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.