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Finding the Fourth Proportional to 323,810.20, 485,715.30 and 206,003.80

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Solution

The fourth proportional to 323,810.20, 485,715.30 and 206,003.80 is: 309,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,810.20 : 485,715.30 = 206,003.80 : x
  2. Step 2: Convert to fraction form
    323,810.20/485,715.30 = 206,003.80/x
  3. Step 3: Cross multiply
    323,810.20x = 485,715.30 × 206,003.80
  4. Step 4: Simplify right side
    323,810.20x = 100,059,197,518.14
  5. Step 5: Solve for x
    x = 100,059,197,518.14/323,810.20
  6. Step 6: Final answer
    x = 309,005.70

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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.