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Finding the Fourth Proportional to 329,643.70, 494,249.55 and 129,843.70

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Solution

The fourth proportional to 329,643.70, 494,249.55 and 129,843.70 is: 194,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,643.70 : 494,249.55 = 129,843.70 : x
  2. Step 2: Convert to fraction form
    329,643.70/494,249.55 = 129,843.70/x
  3. Step 3: Cross multiply
    329,643.70x = 494,249.55 × 129,843.70
  4. Step 4: Simplify right side
    329,643.70x = 64,175,190,295.34
  5. Step 5: Solve for x
    x = 64,175,190,295.34/329,643.70
  6. Step 6: Final answer
    x = 194,680.47

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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.