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Finding the Fourth Proportional to 644,578.40, 965,701.20 and 394,968.80

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Solution

The fourth proportional to 644,578.40, 965,701.20 and 394,968.80 is: 591,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,578.40 : 965,701.20 = 394,968.80 : x
  2. Step 2: Convert to fraction form
    644,578.40/965,701.20 = 394,968.80/x
  3. Step 3: Cross multiply
    644,578.40x = 965,701.20 × 394,968.80
  4. Step 4: Simplify right side
    644,578.40x = 381,421,844,122.56
  5. Step 5: Solve for x
    x = 381,421,844,122.56/644,578.40
  6. Step 6: Final answer
    x = 591,738.48

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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.