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Finding the Fourth Proportional to 305,191.44, 421,302.60 and 196,452.72

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Solution

The fourth proportional to 305,191.44, 421,302.60 and 196,452.72 is: 271,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,191.44 : 421,302.60 = 196,452.72 : x
  2. Step 2: Convert to fraction form
    305,191.44/421,302.60 = 196,452.72/x
  3. Step 3: Cross multiply
    305,191.44x = 421,302.60 × 196,452.72
  4. Step 4: Simplify right side
    305,191.44x = 82,766,041,713.07
  5. Step 5: Solve for x
    x = 82,766,041,713.07/305,191.44
  6. Step 6: Final answer
    x = 271,193.85

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1.5x scale

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.