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Finding the Fourth Proportional to 339,406, 468,390 and 188,512.72

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Solution

The fourth proportional to 339,406, 468,390 and 188,512.72 is: 260,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,406 : 468,390 = 188,512.72 : x
  2. Step 2: Convert to fraction form
    339,406/468,390 = 188,512.72/x
  3. Step 3: Cross multiply
    339,406x = 468,390 × 188,512.72
  4. Step 4: Simplify right side
    339,406x = 88,297,472,920.80
  5. Step 5: Solve for x
    x = 88,297,472,920.80/339,406
  6. Step 6: Final answer
    x = 260,152.95

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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.