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Finding the Fourth Proportional to 422,419.92, 633,629.86 and 280,542.31

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Solution

The fourth proportional to 422,419.92, 633,629.86 and 280,542.31 is: 420,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,419.92 : 633,629.86 = 280,542.31 : x
  2. Step 2: Convert to fraction form
    422,419.92/633,629.86 = 280,542.31/x
  3. Step 3: Cross multiply
    422,419.92x = 633,629.86 × 280,542.31
  4. Step 4: Simplify right side
    422,419.92x = 177,759,984,609.38
  5. Step 5: Solve for x
    x = 177,759,984,609.38/422,419.92
  6. Step 6: Final answer
    x = 420,813.45

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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.