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Finding the Fourth Proportional to 408,686.01, 612,723.59 and 281,964.65

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Solution

The fourth proportional to 408,686.01, 612,723.59 and 281,964.65 is: 422,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,686.01 : 612,723.59 = 281,964.65 : x
  2. Step 2: Convert to fraction form
    408,686.01/612,723.59 = 281,964.65/x
  3. Step 3: Cross multiply
    408,686.01x = 612,723.59 × 281,964.65
  4. Step 4: Simplify right side
    408,686.01x = 172,766,392,601.09
  5. Step 5: Solve for x
    x = 172,766,392,601.09/408,686.01
  6. Step 6: Final answer
    x = 422,736.25

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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.