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Finding the Fourth Proportional to 347,825.78, 479,890.61 and 194,843.31

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Solution

The fourth proportional to 347,825.78, 479,890.61 and 194,843.31 is: 268,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,825.78 : 479,890.61 = 194,843.31 : x
  2. Step 2: Convert to fraction form
    347,825.78/479,890.61 = 194,843.31/x
  3. Step 3: Cross multiply
    347,825.78x = 479,890.61 × 194,843.31
  4. Step 4: Simplify right side
    347,825.78x = 93,503,472,847.18
  5. Step 5: Solve for x
    x = 93,503,472,847.18/347,825.78
  6. Step 6: Final answer
    x = 268,822.72

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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.