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Finding the Fourth Proportional to 395,978.42, 546,481.78 and 223,932.62

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Solution

The fourth proportional to 395,978.42, 546,481.78 and 223,932.62 is: 309,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,978.42 : 546,481.78 = 223,932.62 : x
  2. Step 2: Convert to fraction form
    395,978.42/546,481.78 = 223,932.62/x
  3. Step 3: Cross multiply
    395,978.42x = 546,481.78 × 223,932.62
  4. Step 4: Simplify right side
    395,978.42x = 122,375,096,777.66
  5. Step 5: Solve for x
    x = 122,375,096,777.66/395,978.42
  6. Step 6: Final answer
    x = 309,044.86

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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.