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Finding the Fourth Proportional to 216,451.44, 324,675 and 120,450.24

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Solution

The fourth proportional to 216,451.44, 324,675 and 120,450.24 is: 180,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,451.44 : 324,675 = 120,450.24 : x
  2. Step 2: Convert to fraction form
    216,451.44/324,675 = 120,450.24/x
  3. Step 3: Cross multiply
    216,451.44x = 324,675 × 120,450.24
  4. Step 4: Simplify right side
    216,451.44x = 39,107,181,672
  5. Step 5: Solve for x
    x = 39,107,181,672/216,451.44
  6. Step 6: Final answer
    x = 180,674.16

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1.5x scale

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.