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Finding the Fourth Proportional to 396,242, 546,823.56 and 217,394

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Solution

The fourth proportional to 396,242, 546,823.56 and 217,394 is: 300,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,242 : 546,823.56 = 217,394 : x
  2. Step 2: Convert to fraction form
    396,242/546,823.56 = 217,394/x
  3. Step 3: Cross multiply
    396,242x = 546,823.56 × 217,394
  4. Step 4: Simplify right side
    396,242x = 118,876,161,002.64
  5. Step 5: Solve for x
    x = 118,876,161,002.64/396,242
  6. Step 6: Final answer
    x = 300,008.99

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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.