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Finding the Fourth Proportional to 323,042.82, 484,566.05 and 287,668.09

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Solution

The fourth proportional to 323,042.82, 484,566.05 and 287,668.09 is: 431,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,042.82 : 484,566.05 = 287,668.09 : x
  2. Step 2: Convert to fraction form
    323,042.82/484,566.05 = 287,668.09/x
  3. Step 3: Cross multiply
    323,042.82x = 484,566.05 × 287,668.09
  4. Step 4: Simplify right side
    323,042.82x = 139,394,190,082.35
  5. Step 5: Solve for x
    x = 139,394,190,082.35/323,042.82
  6. Step 6: Final answer
    x = 431,503.76

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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.