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Finding the Fourth Proportional to 455,046.84, 682,716.24 and 218,406.15

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Solution

The fourth proportional to 455,046.84, 682,716.24 and 218,406.15 is: 327,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,046.84 : 682,716.24 = 218,406.15 : x
  2. Step 2: Convert to fraction form
    455,046.84/682,716.24 = 218,406.15/x
  3. Step 3: Cross multiply
    455,046.84x = 682,716.24 × 218,406.15
  4. Step 4: Simplify right side
    455,046.84x = 149,109,425,520.88
  5. Step 5: Solve for x
    x = 149,109,425,520.88/455,046.84
  6. Step 6: Final answer
    x = 327,679.29

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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.