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Finding the Fourth Proportional to 200,491.50, 300,503.97 and 82,019.28

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Solution

The fourth proportional to 200,491.50, 300,503.97 and 82,019.28 is: 122,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.50 : 300,503.97 = 82,019.28 : x
  2. Step 2: Convert to fraction form
    200,491.50/300,503.97 = 82,019.28/x
  3. Step 3: Cross multiply
    200,491.50x = 300,503.97 × 82,019.28
  4. Step 4: Simplify right side
    200,491.50x = 24,647,119,256.54
  5. Step 5: Solve for x
    x = 24,647,119,256.54/200,491.50
  6. Step 6: Final answer
    x = 122,933.49

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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.