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Finding the Fourth Proportional to 347,788.80, 479,978.24 and 196,912.64

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Solution

The fourth proportional to 347,788.80, 479,978.24 and 196,912.64 is: 271,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,788.80 : 479,978.24 = 196,912.64 : x
  2. Step 2: Convert to fraction form
    347,788.80/479,978.24 = 196,912.64/x
  3. Step 3: Cross multiply
    347,788.80x = 479,978.24 × 196,912.64
  4. Step 4: Simplify right side
    347,788.80x = 94,513,782,380.95
  5. Step 5: Solve for x
    x = 94,513,782,380.95/347,788.80
  6. Step 6: Final answer
    x = 271,756.26

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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.