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Finding the Fourth Proportional to 330,028.70, 494,927.85 and 172,204.70

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Solution

The fourth proportional to 330,028.70, 494,927.85 and 172,204.70 is: 258,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,028.70 : 494,927.85 = 172,204.70 : x
  2. Step 2: Convert to fraction form
    330,028.70/494,927.85 = 172,204.70/x
  3. Step 3: Cross multiply
    330,028.70x = 494,927.85 × 172,204.70
  4. Step 4: Simplify right side
    330,028.70x = 85,228,901,930.90
  5. Step 5: Solve for x
    x = 85,228,901,930.90/330,028.70
  6. Step 6: Final answer
    x = 258,246.94

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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.