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Finding the Fourth Proportional to 455,338.82, 682,434.03 and 230,755.70

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Solution

The fourth proportional to 455,338.82, 682,434.03 and 230,755.70 is: 345,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,338.82 : 682,434.03 = 230,755.70 : x
  2. Step 2: Convert to fraction form
    455,338.82/682,434.03 = 230,755.70/x
  3. Step 3: Cross multiply
    455,338.82x = 682,434.03 × 230,755.70
  4. Step 4: Simplify right side
    455,338.82x = 157,475,542,296.47
  5. Step 5: Solve for x
    x = 157,475,542,296.47/455,338.82
  6. Step 6: Final answer
    x = 345,842.56

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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.