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Finding the Fourth Proportional to 427,764.69, 641,613.60 and 112,213.38

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Solution

The fourth proportional to 427,764.69, 641,613.60 and 112,213.38 is: 168,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,764.69 : 641,613.60 = 112,213.38 : x
  2. Step 2: Convert to fraction form
    427,764.69/641,613.60 = 112,213.38/x
  3. Step 3: Cross multiply
    427,764.69x = 641,613.60 × 112,213.38
  4. Step 4: Simplify right side
    427,764.69x = 71,997,630,709.97
  5. Step 5: Solve for x
    x = 71,997,630,709.97/427,764.69
  6. Step 6: Final answer
    x = 168,311.30

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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.