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Finding the Fourth Proportional to 263,243.69, 394,914.72 and 105,484.44

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Solution

The fourth proportional to 263,243.69, 394,914.72 and 105,484.44 is: 158,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,243.69 : 394,914.72 = 105,484.44 : x
  2. Step 2: Convert to fraction form
    263,243.69/394,914.72 = 105,484.44/x
  3. Step 3: Cross multiply
    263,243.69x = 394,914.72 × 105,484.44
  4. Step 4: Simplify right side
    263,243.69x = 41,657,359,963.45
  5. Step 5: Solve for x
    x = 41,657,359,963.45/263,243.69
  6. Step 6: Final answer
    x = 158,246.38

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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.