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Finding the Fourth Proportional to 633,722.40, 949,028.40 and 422,215.20

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Solution

The fourth proportional to 633,722.40, 949,028.40 and 422,215.20 is: 632,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,722.40 : 949,028.40 = 422,215.20 : x
  2. Step 2: Convert to fraction form
    633,722.40/949,028.40 = 422,215.20/x
  3. Step 3: Cross multiply
    633,722.40x = 949,028.40 × 422,215.20
  4. Step 4: Simplify right side
    633,722.40x = 400,694,215,711.68
  5. Step 5: Solve for x
    x = 400,694,215,711.68/633,722.40
  6. Step 6: Final answer
    x = 632,286.65

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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.