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Finding the Fourth Proportional to 323,131, 445,630.47 and 202,283.29

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Solution

The fourth proportional to 323,131, 445,630.47 and 202,283.29 is: 278,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,131 : 445,630.47 = 202,283.29 : x
  2. Step 2: Convert to fraction form
    323,131/445,630.47 = 202,283.29/x
  3. Step 3: Cross multiply
    323,131x = 445,630.47 × 202,283.29
  4. Step 4: Simplify right side
    323,131x = 90,143,597,595.85
  5. Step 5: Solve for x
    x = 90,143,597,595.85/323,131
  6. Step 6: Final answer
    x = 278,969.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.