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Finding the Fourth Proportional to 207,960.70, 311,941.05 and 206,211.10

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Solution

The fourth proportional to 207,960.70, 311,941.05 and 206,211.10 is: 309,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,960.70 : 311,941.05 = 206,211.10 : x
  2. Step 2: Convert to fraction form
    207,960.70/311,941.05 = 206,211.10/x
  3. Step 3: Cross multiply
    207,960.70x = 311,941.05 × 206,211.10
  4. Step 4: Simplify right side
    207,960.70x = 64,325,707,055.66
  5. Step 5: Solve for x
    x = 64,325,707,055.66/207,960.70
  6. Step 6: Final answer
    x = 309,316.65

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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.