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Finding the Fourth Proportional to 557,538.60, 769,469.22 and 331,185

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Solution

The fourth proportional to 557,538.60, 769,469.22 and 331,185 is: 457,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,538.60 : 769,469.22 = 331,185 : x
  2. Step 2: Convert to fraction form
    557,538.60/769,469.22 = 331,185/x
  3. Step 3: Cross multiply
    557,538.60x = 769,469.22 × 331,185
  4. Step 4: Simplify right side
    557,538.60x = 254,836,663,625.70
  5. Step 5: Solve for x
    x = 254,836,663,625.70/557,538.60
  6. Step 6: Final answer
    x = 457,074.48

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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.