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Finding the Fourth Proportional to 349,180, 481,845.72 and 205,907.20

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Solution

The fourth proportional to 349,180, 481,845.72 and 205,907.20 is: 284,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,180 : 481,845.72 = 205,907.20 : x
  2. Step 2: Convert to fraction form
    349,180/481,845.72 = 205,907.20/x
  3. Step 3: Cross multiply
    349,180x = 481,845.72 × 205,907.20
  4. Step 4: Simplify right side
    349,180x = 99,215,503,037.18
  5. Step 5: Solve for x
    x = 99,215,503,037.18/349,180
  6. Step 6: Final answer
    x = 284,138.56

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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.