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Finding the Fourth Proportional to 200,642.40, 300,964.14 and 50,882.78

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Solution

The fourth proportional to 200,642.40, 300,964.14 and 50,882.78 is: 76,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.40 : 300,964.14 = 50,882.78 : x
  2. Step 2: Convert to fraction form
    200,642.40/300,964.14 = 50,882.78/x
  3. Step 3: Cross multiply
    200,642.40x = 300,964.14 × 50,882.78
  4. Step 4: Simplify right side
    200,642.40x = 15,313,892,875.92
  5. Step 5: Solve for x
    x = 15,313,892,875.92/200,642.40
  6. Step 6: Final answer
    x = 76,324.31

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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.