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Finding the Fourth Proportional to 329,659.77, 494,391.25 and 140,119.32

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Solution

The fourth proportional to 329,659.77, 494,391.25 and 140,119.32 is: 210,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,659.77 : 494,391.25 = 140,119.32 : x
  2. Step 2: Convert to fraction form
    329,659.77/494,391.25 = 140,119.32/x
  3. Step 3: Cross multiply
    329,659.77x = 494,391.25 × 140,119.32
  4. Step 4: Simplify right side
    329,659.77x = 69,273,764,223.94
  5. Step 5: Solve for x
    x = 69,273,764,223.94/329,659.77
  6. Step 6: Final answer
    x = 210,137.15

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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.