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Finding the Fourth Proportional to 329,491.56, 494,239.98 and 215,735.25

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Solution

The fourth proportional to 329,491.56, 494,239.98 and 215,735.25 is: 323,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,491.56 : 494,239.98 = 215,735.25 : x
  2. Step 2: Convert to fraction form
    329,491.56/494,239.98 = 215,735.25/x
  3. Step 3: Cross multiply
    329,491.56x = 494,239.98 × 215,735.25
  4. Step 4: Simplify right side
    329,491.56x = 106,624,985,645.30
  5. Step 5: Solve for x
    x = 106,624,985,645.30/329,491.56
  6. Step 6: Final answer
    x = 323,604.60

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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.