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Finding the Fourth Proportional to 207,286.20, 311,006.10 and 199,606.20

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Solution

The fourth proportional to 207,286.20, 311,006.10 and 199,606.20 is: 299,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,286.20 : 311,006.10 = 199,606.20 : x
  2. Step 2: Convert to fraction form
    207,286.20/311,006.10 = 199,606.20/x
  3. Step 3: Cross multiply
    207,286.20x = 311,006.10 × 199,606.20
  4. Step 4: Simplify right side
    207,286.20x = 62,078,745,797.82
  5. Step 5: Solve for x
    x = 62,078,745,797.82/207,286.20
  6. Step 6: Final answer
    x = 299,483.25

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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.