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Finding the Fourth Proportional to 402,381.27, 603,022.41 and 202,836.65

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Solution

The fourth proportional to 402,381.27, 603,022.41 and 202,836.65 is: 303,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,381.27 : 603,022.41 = 202,836.65 : x
  2. Step 2: Convert to fraction form
    402,381.27/603,022.41 = 202,836.65/x
  3. Step 3: Cross multiply
    402,381.27x = 603,022.41 × 202,836.65
  4. Step 4: Simplify right side
    402,381.27x = 122,315,042,504.21
  5. Step 5: Solve for x
    x = 122,315,042,504.21/402,381.27
  6. Step 6: Final answer
    x = 303,977.97

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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.