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Finding the Fourth Proportional to 200,378.80, 300,568.20 and 50,619.52

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Solution

The fourth proportional to 200,378.80, 300,568.20 and 50,619.52 is: 75,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,378.80 : 300,568.20 = 50,619.52 : x
  2. Step 2: Convert to fraction form
    200,378.80/300,568.20 = 50,619.52/x
  3. Step 3: Cross multiply
    200,378.80x = 300,568.20 × 50,619.52
  4. Step 4: Simplify right side
    200,378.80x = 15,214,618,011.26
  5. Step 5: Solve for x
    x = 15,214,618,011.26/200,378.80
  6. Step 6: Final answer
    x = 75,929.28

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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.