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Finding the Fourth Proportional to 422,406.20, 633,609.30 and 394,412.60

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Solution

The fourth proportional to 422,406.20, 633,609.30 and 394,412.60 is: 591,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,406.20 : 633,609.30 = 394,412.60 : x
  2. Step 2: Convert to fraction form
    422,406.20/633,609.30 = 394,412.60/x
  3. Step 3: Cross multiply
    422,406.20x = 633,609.30 × 394,412.60
  4. Step 4: Simplify right side
    422,406.20x = 249,903,491,397.18
  5. Step 5: Solve for x
    x = 249,903,491,397.18/422,406.20
  6. Step 6: Final answer
    x = 591,618.90

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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.