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Finding the Fourth Proportional to 225,382.40, 311,028.36 and 123,408.80

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Solution

The fourth proportional to 225,382.40, 311,028.36 and 123,408.80 is: 170,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,382.40 : 311,028.36 = 123,408.80 : x
  2. Step 2: Convert to fraction form
    225,382.40/311,028.36 = 123,408.80/x
  3. Step 3: Cross multiply
    225,382.40x = 311,028.36 × 123,408.80
  4. Step 4: Simplify right side
    225,382.40x = 38,383,636,673.57
  5. Step 5: Solve for x
    x = 38,383,636,673.57/225,382.40
  6. Step 6: Final answer
    x = 170,304.50

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1.5x scale

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.