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Finding the Fourth Proportional to 422,367.80, 633,485.66 and 138,056.20

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Solution

The fourth proportional to 422,367.80, 633,485.66 and 138,056.20 is: 207,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,367.80 : 633,485.66 = 138,056.20 : x
  2. Step 2: Convert to fraction form
    422,367.80/633,485.66 = 138,056.20/x
  3. Step 3: Cross multiply
    422,367.80x = 633,485.66 × 138,056.20
  4. Step 4: Simplify right side
    422,367.80x = 87,456,622,974.09
  5. Step 5: Solve for x
    x = 87,456,622,974.09/422,367.80
  6. Step 6: Final answer
    x = 207,062.71

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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.