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Finding the Fourth Proportional to 413,738.95, 620,608.43 and 394,493.35

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Solution

The fourth proportional to 413,738.95, 620,608.43 and 394,493.35 is: 591,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,738.95 : 620,608.43 = 394,493.35 : x
  2. Step 2: Convert to fraction form
    413,738.95/620,608.43 = 394,493.35/x
  3. Step 3: Cross multiply
    413,738.95x = 620,608.43 × 394,493.35
  4. Step 4: Simplify right side
    413,738.95x = 244,825,896,616.47
  5. Step 5: Solve for x
    x = 244,825,896,616.47/413,738.95
  6. Step 6: Final answer
    x = 591,740.03

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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.