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Finding the Fourth Proportional to 300,727.65, 450,950.22 and 174,403.80

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Solution

The fourth proportional to 300,727.65, 450,950.22 and 174,403.80 is: 261,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,727.65 : 450,950.22 = 174,403.80 : x
  2. Step 2: Convert to fraction form
    300,727.65/450,950.22 = 174,403.80/x
  3. Step 3: Cross multiply
    300,727.65x = 450,950.22 × 174,403.80
  4. Step 4: Simplify right side
    300,727.65x = 78,647,431,978.84
  5. Step 5: Solve for x
    x = 78,647,431,978.84/300,727.65
  6. Step 6: Final answer
    x = 261,523.78

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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.