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Finding the Fourth Proportional to 494,410.68, 741,550.43 and 139,453.29

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Solution

The fourth proportional to 494,410.68, 741,550.43 and 139,453.29 is: 209,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,410.68 : 741,550.43 = 139,453.29 : x
  2. Step 2: Convert to fraction form
    494,410.68/741,550.43 = 139,453.29/x
  3. Step 3: Cross multiply
    494,410.68x = 741,550.43 × 139,453.29
  4. Step 4: Simplify right side
    494,410.68x = 103,411,647,164.42
  5. Step 5: Solve for x
    x = 103,411,647,164.42/494,410.68
  6. Step 6: Final answer
    x = 209,161.43

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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.