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Finding the Fourth Proportional to 207,967.20, 311,950.80 and 206,217.60

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Solution

The fourth proportional to 207,967.20, 311,950.80 and 206,217.60 is: 309,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.20 : 311,950.80 = 206,217.60 : x
  2. Step 2: Convert to fraction form
    207,967.20/311,950.80 = 206,217.60/x
  3. Step 3: Cross multiply
    207,967.20x = 311,950.80 × 206,217.60
  4. Step 4: Simplify right side
    207,967.20x = 64,329,745,294.08
  5. Step 5: Solve for x
    x = 64,329,745,294.08/207,967.20
  6. Step 6: Final answer
    x = 309,326.40

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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.