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Finding the Fourth Proportional to 329,658.46, 454,999.34 and 200,638.49

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Solution

The fourth proportional to 329,658.46, 454,999.34 and 200,638.49 is: 276,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,658.46 : 454,999.34 = 200,638.49 : x
  2. Step 2: Convert to fraction form
    329,658.46/454,999.34 = 200,638.49/x
  3. Step 3: Cross multiply
    329,658.46x = 454,999.34 × 200,638.49
  4. Step 4: Simplify right side
    329,658.46x = 91,290,377,626.60
  5. Step 5: Solve for x
    x = 91,290,377,626.60/329,658.46
  6. Step 6: Final answer
    x = 276,924.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.