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Finding the Fourth Proportional to 420,847.92, 580,746.60 and 239,604.12

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Solution

The fourth proportional to 420,847.92, 580,746.60 and 239,604.12 is: 330,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,847.92 : 580,746.60 = 239,604.12 : x
  2. Step 2: Convert to fraction form
    420,847.92/580,746.60 = 239,604.12/x
  3. Step 3: Cross multiply
    420,847.92x = 580,746.60 × 239,604.12
  4. Step 4: Simplify right side
    420,847.92x = 139,149,278,035.99
  5. Step 5: Solve for x
    x = 139,149,278,035.99/420,847.92
  6. Step 6: Final answer
    x = 330,640.29

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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.