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Finding the Fourth Proportional to 383,930.97, 575,429.43 and 271,643.56

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Solution

The fourth proportional to 383,930.97, 575,429.43 and 271,643.56 is: 407,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,930.97 : 575,429.43 = 271,643.56 : x
  2. Step 2: Convert to fraction form
    383,930.97/575,429.43 = 271,643.56/x
  3. Step 3: Cross multiply
    383,930.97x = 575,429.43 × 271,643.56
  4. Step 4: Simplify right side
    383,930.97x = 156,311,698,893.97
  5. Step 5: Solve for x
    x = 156,311,698,893.97/383,930.97
  6. Step 6: Final answer
    x = 407,134.90

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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.