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Finding the Fourth Proportional to 263,271.20, 394,791.60 and 105,447.20

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Solution

The fourth proportional to 263,271.20, 394,791.60 and 105,447.20 is: 158,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271.20 : 394,791.60 = 105,447.20 : x
  2. Step 2: Convert to fraction form
    263,271.20/394,791.60 = 105,447.20/x
  3. Step 3: Cross multiply
    263,271.20x = 394,791.60 × 105,447.20
  4. Step 4: Simplify right side
    263,271.20x = 41,629,668,803.52
  5. Step 5: Solve for x
    x = 41,629,668,803.52/263,271.20
  6. Step 6: Final answer
    x = 158,124.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.