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Finding the Fourth Proportional to 408,321.29, 612,606.27 and 208,781.84

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Solution

The fourth proportional to 408,321.29, 612,606.27 and 208,781.84 is: 313,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,321.29 : 612,606.27 = 208,781.84 : x
  2. Step 2: Convert to fraction form
    408,321.29/612,606.27 = 208,781.84/x
  3. Step 3: Cross multiply
    408,321.29x = 612,606.27 × 208,781.84
  4. Step 4: Simplify right side
    408,321.29x = 127,901,061,183.11
  5. Step 5: Solve for x
    x = 127,901,061,183.11/408,321.29
  6. Step 6: Final answer
    x = 313,236.33

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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.