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Finding the Fourth Proportional to 420,912.92, 580,872.57 and 229,938.62

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Solution

The fourth proportional to 420,912.92, 580,872.57 and 229,938.62 is: 317,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,912.92 : 580,872.57 = 229,938.62 : x
  2. Step 2: Convert to fraction form
    420,912.92/580,872.57 = 229,938.62/x
  3. Step 3: Cross multiply
    420,912.92x = 580,872.57 × 229,938.62
  4. Step 4: Simplify right side
    420,912.92x = 133,565,033,375.02
  5. Step 5: Solve for x
    x = 133,565,033,375.02/420,912.92
  6. Step 6: Final answer
    x = 317,322.24

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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.