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Finding the Fourth Proportional to 422,328.36, 633,697.74 and 185,640.42

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Solution

The fourth proportional to 422,328.36, 633,697.74 and 185,640.42 is: 278,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,328.36 : 633,697.74 = 185,640.42 : x
  2. Step 2: Convert to fraction form
    422,328.36/633,697.74 = 185,640.42/x
  3. Step 3: Cross multiply
    422,328.36x = 633,697.74 × 185,640.42
  4. Step 4: Simplify right side
    422,328.36x = 117,639,914,606.65
  5. Step 5: Solve for x
    x = 117,639,914,606.65/422,328.36
  6. Step 6: Final answer
    x = 278,550.83

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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.