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Finding the Fourth Proportional to 323,682, 485,523 and 102,066

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Solution

The fourth proportional to 323,682, 485,523 and 102,066 is: 153,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,682 : 485,523 = 102,066 : x
  2. Step 2: Convert to fraction form
    323,682/485,523 = 102,066/x
  3. Step 3: Cross multiply
    323,682x = 485,523 × 102,066
  4. Step 4: Simplify right side
    323,682x = 49,555,390,518
  5. Step 5: Solve for x
    x = 49,555,390,518/323,682
  6. Step 6: Final answer
    x = 153,099

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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.