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Finding the Fourth Proportional to 263,266.69, 394,949.10 and 105,507.45

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Solution

The fourth proportional to 263,266.69, 394,949.10 and 105,507.45 is: 158,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,266.69 : 394,949.10 = 105,507.45 : x
  2. Step 2: Convert to fraction form
    263,266.69/394,949.10 = 105,507.45/x
  3. Step 3: Cross multiply
    263,266.69x = 394,949.10 × 105,507.45
  4. Step 4: Simplify right side
    263,266.69x = 41,670,072,420.80
  5. Step 5: Solve for x
    x = 41,670,072,420.80/263,266.69
  6. Step 6: Final answer
    x = 158,280.84

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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.