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Finding the Fourth Proportional to 329,678.92, 494,721.42 and 129,965.32

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Solution

The fourth proportional to 329,678.92, 494,721.42 and 129,965.32 is: 195,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,678.92 : 494,721.42 = 129,965.32 : x
  2. Step 2: Convert to fraction form
    329,678.92/494,721.42 = 129,965.32/x
  3. Step 3: Cross multiply
    329,678.92x = 494,721.42 × 129,965.32
  4. Step 4: Simplify right side
    329,678.92x = 64,296,627,661.15
  5. Step 5: Solve for x
    x = 64,296,627,661.15/329,678.92
  6. Step 6: Final answer
    x = 195,028.02

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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.