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Finding the Fourth Proportional to 719,859.84, 993,414.06 and 397,578.12

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Solution

The fourth proportional to 719,859.84, 993,414.06 and 397,578.12 is: 548,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,859.84 : 993,414.06 = 397,578.12 : x
  2. Step 2: Convert to fraction form
    719,859.84/993,414.06 = 397,578.12/x
  3. Step 3: Cross multiply
    719,859.84x = 993,414.06 × 397,578.12
  4. Step 4: Simplify right side
    719,859.84x = 394,959,694,356.37
  5. Step 5: Solve for x
    x = 394,959,694,356.37/719,859.84
  6. Step 6: Final answer
    x = 548,661.94

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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.