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Finding the Fourth Proportional to 209,491.62, 314,286.63 and 69,250.24

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Solution

The fourth proportional to 209,491.62, 314,286.63 and 69,250.24 is: 103,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,491.62 : 314,286.63 = 69,250.24 : x
  2. Step 2: Convert to fraction form
    209,491.62/314,286.63 = 69,250.24/x
  3. Step 3: Cross multiply
    209,491.62x = 314,286.63 × 69,250.24
  4. Step 4: Simplify right side
    209,491.62x = 21,764,424,556.29
  5. Step 5: Solve for x
    x = 21,764,424,556.29/209,491.62
  6. Step 6: Final answer
    x = 103,891.62

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1.5x scale

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.