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Finding the Fourth Proportional to 339,876, 469,028.88 and 188,973

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Solution

The fourth proportional to 339,876, 469,028.88 and 188,973 is: 260,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,876 : 469,028.88 = 188,973 : x
  2. Step 2: Convert to fraction form
    339,876/469,028.88 = 188,973/x
  3. Step 3: Cross multiply
    339,876x = 469,028.88 × 188,973
  4. Step 4: Simplify right side
    339,876x = 88,633,794,540.24
  5. Step 5: Solve for x
    x = 88,633,794,540.24/339,876
  6. Step 6: Final answer
    x = 260,782.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.