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Finding the Fourth Proportional to 305,057.44, 420,836.88 and 191,942.56

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Solution

The fourth proportional to 305,057.44, 420,836.88 and 191,942.56 is: 264,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,057.44 : 420,836.88 = 191,942.56 : x
  2. Step 2: Convert to fraction form
    305,057.44/420,836.88 = 191,942.56/x
  3. Step 3: Cross multiply
    305,057.44x = 420,836.88 × 191,942.56
  4. Step 4: Simplify right side
    305,057.44x = 80,776,508,089.61
  5. Step 5: Solve for x
    x = 80,776,508,089.61/305,057.44
  6. Step 6: Final answer
    x = 264,791.14

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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.