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Finding the Fourth Proportional to 396,376.54, 546,996.85 and 215,083.86

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Solution

The fourth proportional to 396,376.54, 546,996.85 and 215,083.86 is: 296,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,376.54 : 546,996.85 = 215,083.86 : x
  2. Step 2: Convert to fraction form
    396,376.54/546,996.85 = 215,083.86/x
  3. Step 3: Cross multiply
    396,376.54x = 546,996.85 × 215,083.86
  4. Step 4: Simplify right side
    396,376.54x = 117,650,191,316.89
  5. Step 5: Solve for x
    x = 117,650,191,316.89/396,376.54
  6. Step 6: Final answer
    x = 296,814.22

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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.