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Finding the Fourth Proportional to 323,834.20, 485,168.10 and 199,029.40

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Solution

The fourth proportional to 323,834.20, 485,168.10 and 199,029.40 is: 298,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,834.20 : 485,168.10 = 199,029.40 : x
  2. Step 2: Convert to fraction form
    323,834.20/485,168.10 = 199,029.40/x
  3. Step 3: Cross multiply
    323,834.20x = 485,168.10 × 199,029.40
  4. Step 4: Simplify right side
    323,834.20x = 96,562,715,842.14
  5. Step 5: Solve for x
    x = 96,562,715,842.14/323,834.20
  6. Step 6: Final answer
    x = 298,185.66

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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.