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Finding the Fourth Proportional to 396,164.96, 546,702.72 and 214,874

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Solution

The fourth proportional to 396,164.96, 546,702.72 and 214,874 is: 296,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,164.96 : 546,702.72 = 214,874 : x
  2. Step 2: Convert to fraction form
    396,164.96/546,702.72 = 214,874/x
  3. Step 3: Cross multiply
    396,164.96x = 546,702.72 × 214,874
  4. Step 4: Simplify right side
    396,164.96x = 117,472,200,257.28
  5. Step 5: Solve for x
    x = 117,472,200,257.28/396,164.96
  6. Step 6: Final answer
    x = 296,523.45

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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.