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Finding the Fourth Proportional to 419,702.31, 629,738.96 and 219,974.94

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Solution

The fourth proportional to 419,702.31, 629,738.96 and 219,974.94 is: 330,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,702.31 : 629,738.96 = 219,974.94 : x
  2. Step 2: Convert to fraction form
    419,702.31/629,738.96 = 219,974.94/x
  3. Step 3: Cross multiply
    419,702.31x = 629,738.96 × 219,974.94
  4. Step 4: Simplify right side
    419,702.31x = 138,526,788,841.79
  5. Step 5: Solve for x
    x = 138,526,788,841.79/419,702.31
  6. Step 6: Final answer
    x = 330,059.63

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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.