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Finding the Fourth Proportional to 329,791.32, 494,350.91 and 140,130.75

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Solution

The fourth proportional to 329,791.32, 494,350.91 and 140,130.75 is: 210,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,791.32 : 494,350.91 = 140,130.75 : x
  2. Step 2: Convert to fraction form
    329,791.32/494,350.91 = 140,130.75/x
  3. Step 3: Cross multiply
    329,791.32x = 494,350.91 × 140,130.75
  4. Step 4: Simplify right side
    329,791.32x = 69,273,763,781.48
  5. Step 5: Solve for x
    x = 69,273,763,781.48/329,791.32
  6. Step 6: Final answer
    x = 210,053.33

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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.