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Finding the Fourth Proportional to 347,540.80, 479,494.78 and 194,556.46

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Solution

The fourth proportional to 347,540.80, 479,494.78 and 194,556.46 is: 268,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,540.80 : 479,494.78 = 194,556.46 : x
  2. Step 2: Convert to fraction form
    347,540.80/479,494.78 = 194,556.46/x
  3. Step 3: Cross multiply
    347,540.80x = 479,494.78 × 194,556.46
  4. Step 4: Simplify right side
    347,540.80x = 93,288,807,697.62
  5. Step 5: Solve for x
    x = 93,288,807,697.62/347,540.80
  6. Step 6: Final answer
    x = 268,425.48

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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.