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Finding the Fourth Proportional to 396,121.96, 546,648.60 and 214,833.84

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Solution

The fourth proportional to 396,121.96, 546,648.60 and 214,833.84 is: 296,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,121.96 : 546,648.60 = 214,833.84 : x
  2. Step 2: Convert to fraction form
    396,121.96/546,648.60 = 214,833.84/x
  3. Step 3: Cross multiply
    396,121.96x = 546,648.60 × 214,833.84
  4. Step 4: Simplify right side
    396,121.96x = 117,438,617,868.62
  5. Step 5: Solve for x
    x = 117,438,617,868.62/396,121.96
  6. Step 6: Final answer
    x = 296,470.86

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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.