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Finding the Fourth Proportional to 383,850.20, 575,849.10 and 147,174.42

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Solution

The fourth proportional to 383,850.20, 575,849.10 and 147,174.42 is: 220,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,850.20 : 575,849.10 = 147,174.42 : x
  2. Step 2: Convert to fraction form
    383,850.20/575,849.10 = 147,174.42/x
  3. Step 3: Cross multiply
    383,850.20x = 575,849.10 × 147,174.42
  4. Step 4: Simplify right side
    383,850.20x = 84,750,256,028.31
  5. Step 5: Solve for x
    x = 84,750,256,028.31/383,850.20
  6. Step 6: Final answer
    x = 220,789.92

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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.