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Finding the Fourth Proportional to 420,940.89, 580,906.98 and 229,966.62

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Solution

The fourth proportional to 420,940.89, 580,906.98 and 229,966.62 is: 317,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,940.89 : 580,906.98 = 229,966.62 : x
  2. Step 2: Convert to fraction form
    420,940.89/580,906.98 = 229,966.62/x
  3. Step 3: Cross multiply
    420,940.89x = 580,906.98 × 229,966.62
  4. Step 4: Simplify right side
    420,940.89x = 133,589,214,725.01
  5. Step 5: Solve for x
    x = 133,589,214,725.01/420,940.89
  6. Step 6: Final answer
    x = 317,358.61

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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.