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Finding the Fourth Proportional to 303,847.65, 419,320.13 and 190,732.77

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Solution

The fourth proportional to 303,847.65, 419,320.13 and 190,732.77 is: 263,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,847.65 : 419,320.13 = 190,732.77 : x
  2. Step 2: Convert to fraction form
    303,847.65/419,320.13 = 190,732.77/x
  3. Step 3: Cross multiply
    303,847.65x = 419,320.13 × 190,732.77
  4. Step 4: Simplify right side
    303,847.65x = 79,978,088,958.00
  5. Step 5: Solve for x
    x = 79,978,088,958.00/303,847.65
  6. Step 6: Final answer
    x = 263,217.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.