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Finding the Fourth Proportional to 413,738.70, 620,608.05 and 394,493.10

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Solution

The fourth proportional to 413,738.70, 620,608.05 and 394,493.10 is: 591,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,738.70 : 620,608.05 = 394,493.10 : x
  2. Step 2: Convert to fraction form
    413,738.70/620,608.05 = 394,493.10/x
  3. Step 3: Cross multiply
    413,738.70x = 620,608.05 × 394,493.10
  4. Step 4: Simplify right side
    413,738.70x = 244,825,593,529.46
  5. Step 5: Solve for x
    x = 244,825,593,529.46/413,738.70
  6. Step 6: Final answer
    x = 591,739.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.