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Finding the Fourth Proportional to 420,914.43, 580,874.64 and 229,940.12

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Solution

The fourth proportional to 420,914.43, 580,874.64 and 229,940.12 is: 317,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,914.43 : 580,874.64 = 229,940.12 : x
  2. Step 2: Convert to fraction form
    420,914.43/580,874.64 = 229,940.12/x
  3. Step 3: Cross multiply
    420,914.43x = 580,874.64 × 229,940.12
  4. Step 4: Simplify right side
    420,914.43x = 133,566,381,522.18
  5. Step 5: Solve for x
    x = 133,566,381,522.18/420,914.43
  6. Step 6: Final answer
    x = 317,324.31

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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.