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Finding the Fourth Proportional to 383,912.40, 575,609.40 and 204,027.60

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Solution

The fourth proportional to 383,912.40, 575,609.40 and 204,027.60 is: 305,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,912.40 : 575,609.40 = 204,027.60 : x
  2. Step 2: Convert to fraction form
    383,912.40/575,609.40 = 204,027.60/x
  3. Step 3: Cross multiply
    383,912.40x = 575,609.40 × 204,027.60
  4. Step 4: Simplify right side
    383,912.40x = 117,440,204,419.44
  5. Step 5: Solve for x
    x = 117,440,204,419.44/383,912.40
  6. Step 6: Final answer
    x = 305,903.65

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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.