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Finding the Fourth Proportional to 323,678, 485,517 and 102,062

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Solution

The fourth proportional to 323,678, 485,517 and 102,062 is: 153,093

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,678 : 485,517 = 102,062 : x
  2. Step 2: Convert to fraction form
    323,678/485,517 = 102,062/x
  3. Step 3: Cross multiply
    323,678x = 485,517 × 102,062
  4. Step 4: Simplify right side
    323,678x = 49,552,836,054
  5. Step 5: Solve for x
    x = 49,552,836,054/323,678
  6. Step 6: Final answer
    x = 153,093

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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.