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Finding the Fourth Proportional to 339,600, 468,663.40 and 188,697

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Solution

The fourth proportional to 339,600, 468,663.40 and 188,697 is: 260,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,600 : 468,663.40 = 188,697 : x
  2. Step 2: Convert to fraction form
    339,600/468,663.40 = 188,697/x
  3. Step 3: Cross multiply
    339,600x = 468,663.40 × 188,697
  4. Step 4: Simplify right side
    339,600x = 88,435,377,589.80
  5. Step 5: Solve for x
    x = 88,435,377,589.80/339,600
  6. Step 6: Final answer
    x = 260,410.42

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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.