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Finding the Fourth Proportional to 455,279, 682,451.94 and 189,194

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Solution

The fourth proportional to 455,279, 682,451.94 and 189,194 is: 283,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,279 : 682,451.94 = 189,194 : x
  2. Step 2: Convert to fraction form
    455,279/682,451.94 = 189,194/x
  3. Step 3: Cross multiply
    455,279x = 682,451.94 × 189,194
  4. Step 4: Simplify right side
    455,279x = 129,115,812,336.36
  5. Step 5: Solve for x
    x = 129,115,812,336.36/455,279
  6. Step 6: Final answer
    x = 283,597.12

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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.