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Finding the Fourth Proportional to 323,974.72, 485,996.64 and 137,005.12

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Solution

The fourth proportional to 323,974.72, 485,996.64 and 137,005.12 is: 205,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,974.72 : 485,996.64 = 137,005.12 : x
  2. Step 2: Convert to fraction form
    323,974.72/485,996.64 = 137,005.12/x
  3. Step 3: Cross multiply
    323,974.72x = 485,996.64 × 137,005.12
  4. Step 4: Simplify right side
    323,974.72x = 66,584,027,982.80
  5. Step 5: Solve for x
    x = 66,584,027,982.80/323,974.72
  6. Step 6: Final answer
    x = 205,522.30

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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.