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Finding the Fourth Proportional to 422,236.80, 633,194.82 and 137,859.84

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Solution

The fourth proportional to 422,236.80, 633,194.82 and 137,859.84 is: 206,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,236.80 : 633,194.82 = 137,859.84 : x
  2. Step 2: Convert to fraction form
    422,236.80/633,194.82 = 137,859.84/x
  3. Step 3: Cross multiply
    422,236.80x = 633,194.82 × 137,859.84
  4. Step 4: Simplify right side
    422,236.80x = 87,292,136,574.03
  5. Step 5: Solve for x
    x = 87,292,136,574.03/422,236.80
  6. Step 6: Final answer
    x = 206,737.40

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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.