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Finding the Fourth Proportional to 408,685.64, 612,723.03 and 281,964.29

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Solution

The fourth proportional to 408,685.64, 612,723.03 and 281,964.29 is: 422,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,685.64 : 612,723.03 = 281,964.29 : x
  2. Step 2: Convert to fraction form
    408,685.64/612,723.03 = 281,964.29/x
  3. Step 3: Cross multiply
    408,685.64x = 612,723.03 × 281,964.29
  4. Step 4: Simplify right side
    408,685.64x = 172,766,011,056.98
  5. Step 5: Solve for x
    x = 172,766,011,056.98/408,685.64
  6. Step 6: Final answer
    x = 422,735.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.