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Finding the Fourth Proportional to 389,540.87, 585,338.78 and 209,759.22

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Solution

The fourth proportional to 389,540.87, 585,338.78 and 209,759.22 is: 315,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,540.87 : 585,338.78 = 209,759.22 : x
  2. Step 2: Convert to fraction form
    389,540.87/585,338.78 = 209,759.22/x
  3. Step 3: Cross multiply
    389,540.87x = 585,338.78 × 209,759.22
  4. Step 4: Simplify right side
    389,540.87x = 122,780,205,977.27
  5. Step 5: Solve for x
    x = 122,780,205,977.27/389,540.87
  6. Step 6: Final answer
    x = 315,192.10

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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.