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Finding the Fourth Proportional to 396,181.53, 546,727.32 and 214,893

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Solution

The fourth proportional to 396,181.53, 546,727.32 and 214,893 is: 296,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,181.53 : 546,727.32 = 214,893 : x
  2. Step 2: Convert to fraction form
    396,181.53/546,727.32 = 214,893/x
  3. Step 3: Cross multiply
    396,181.53x = 546,727.32 × 214,893
  4. Step 4: Simplify right side
    396,181.53x = 117,487,873,976.76
  5. Step 5: Solve for x
    x = 117,487,873,976.76/396,181.53
  6. Step 6: Final answer
    x = 296,550.61

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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.