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Finding the Fourth Proportional to 408,521.27, 612,781.96 and 109,002.97

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Solution

The fourth proportional to 408,521.27, 612,781.96 and 109,002.97 is: 163,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,521.27 : 612,781.96 = 109,002.97 : x
  2. Step 2: Convert to fraction form
    408,521.27/612,781.96 = 109,002.97/x
  3. Step 3: Cross multiply
    408,521.27x = 612,781.96 × 109,002.97
  4. Step 4: Simplify right side
    408,521.27x = 66,795,050,853.37
  5. Step 5: Solve for x
    x = 66,795,050,853.37/408,521.27
  6. Step 6: Final answer
    x = 163,504.46

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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.