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Finding the Fourth Proportional to 420,958.24, 580,920.24 and 229,982.56

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Solution

The fourth proportional to 420,958.24, 580,920.24 and 229,982.56 is: 317,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,958.24 : 580,920.24 = 229,982.56 : x
  2. Step 2: Convert to fraction form
    420,958.24/580,920.24 = 229,982.56/x
  3. Step 3: Cross multiply
    420,958.24x = 580,920.24 × 229,982.56
  4. Step 4: Simplify right side
    420,958.24x = 133,601,523,951.01
  5. Step 5: Solve for x
    x = 133,601,523,951.01/420,958.24
  6. Step 6: Final answer
    x = 317,374.77

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1.5x scale

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.