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Finding the Fourth Proportional to 422,066, 633,099 and 126,578

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Solution

The fourth proportional to 422,066, 633,099 and 126,578 is: 189,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,066 : 633,099 = 126,578 : x
  2. Step 2: Convert to fraction form
    422,066/633,099 = 126,578/x
  3. Step 3: Cross multiply
    422,066x = 633,099 × 126,578
  4. Step 4: Simplify right side
    422,066x = 80,136,405,222
  5. Step 5: Solve for x
    x = 80,136,405,222/422,066
  6. Step 6: Final answer
    x = 189,867

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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.