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Finding the Fourth Proportional to 396,168.96, 546,708.24 and 214,878

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Solution

The fourth proportional to 396,168.96, 546,708.24 and 214,878 is: 296,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,168.96 : 546,708.24 = 214,878 : x
  2. Step 2: Convert to fraction form
    396,168.96/546,708.24 = 214,878/x
  3. Step 3: Cross multiply
    396,168.96x = 546,708.24 × 214,878
  4. Step 4: Simplify right side
    396,168.96x = 117,475,573,194.72
  5. Step 5: Solve for x
    x = 117,475,573,194.72/396,168.96
  6. Step 6: Final answer
    x = 296,528.97

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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.