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Finding the Fourth Proportional to 263,014.40, 394,375.80 and 105,064.40

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Solution

The fourth proportional to 263,014.40, 394,375.80 and 105,064.40 is: 157,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,014.40 : 394,375.80 = 105,064.40 : x
  2. Step 2: Convert to fraction form
    263,014.40/394,375.80 = 105,064.40/x
  3. Step 3: Cross multiply
    263,014.40x = 394,375.80 × 105,064.40
  4. Step 4: Simplify right side
    263,014.40x = 41,434,856,801.52
  5. Step 5: Solve for x
    x = 41,434,856,801.52/263,014.40
  6. Step 6: Final answer
    x = 157,538.36

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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.