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Finding the Fourth Proportional to 206,473.10, 309,940.05 and 192,937.10

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Solution

The fourth proportional to 206,473.10, 309,940.05 and 192,937.10 is: 289,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.10 : 309,940.05 = 192,937.10 : x
  2. Step 2: Convert to fraction form
    206,473.10/309,940.05 = 192,937.10/x
  3. Step 3: Cross multiply
    206,473.10x = 309,940.05 × 192,937.10
  4. Step 4: Simplify right side
    206,473.10x = 59,798,934,420.86
  5. Step 5: Solve for x
    x = 59,798,934,420.86/206,473.10
  6. Step 6: Final answer
    x = 289,620.95

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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.