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Finding the Fourth Proportional to 300,622.16, 415,137.48 and 225,039.44

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Solution

The fourth proportional to 300,622.16, 415,137.48 and 225,039.44 is: 310,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,622.16 : 415,137.48 = 225,039.44 : x
  2. Step 2: Convert to fraction form
    300,622.16/415,137.48 = 225,039.44/x
  3. Step 3: Cross multiply
    300,622.16x = 415,137.48 × 225,039.44
  4. Step 4: Simplify right side
    300,622.16x = 93,422,306,022.21
  5. Step 5: Solve for x
    x = 93,422,306,022.21/300,622.16
  6. Step 6: Final answer
    x = 310,763.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.