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Finding the Fourth Proportional to 408,521.22, 612,816.13 and 124,214.24

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Solution

The fourth proportional to 408,521.22, 612,816.13 and 124,214.24 is: 186,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,521.22 : 612,816.13 = 124,214.24 : x
  2. Step 2: Convert to fraction form
    408,521.22/612,816.13 = 124,214.24/x
  3. Step 3: Cross multiply
    408,521.22x = 612,816.13 × 124,214.24
  4. Step 4: Simplify right side
    408,521.22x = 76,120,486,473.08
  5. Step 5: Solve for x
    x = 76,120,486,473.08/408,521.22
  6. Step 6: Final answer
    x = 186,331.78

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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.