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Finding the Fourth Proportional to 329,506.33, 494,162.61 and 139,965.19

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Solution

The fourth proportional to 329,506.33, 494,162.61 and 139,965.19 is: 209,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,506.33 : 494,162.61 = 139,965.19 : x
  2. Step 2: Convert to fraction form
    329,506.33/494,162.61 = 139,965.19/x
  3. Step 3: Cross multiply
    329,506.33x = 494,162.61 × 139,965.19
  4. Step 4: Simplify right side
    329,506.33x = 69,165,561,839.27
  5. Step 5: Solve for x
    x = 69,165,561,839.27/329,506.33
  6. Step 6: Final answer
    x = 209,906.63

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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.