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Finding the Fourth Proportional to 419,359.26, 629,137.26 and 138,876.60

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Solution

The fourth proportional to 419,359.26, 629,137.26 and 138,876.60 is: 208,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,359.26 : 629,137.26 = 138,876.60 : x
  2. Step 2: Convert to fraction form
    419,359.26/629,137.26 = 138,876.60/x
  3. Step 3: Cross multiply
    419,359.26x = 629,137.26 × 138,876.60
  4. Step 4: Simplify right side
    419,359.26x = 87,372,443,602.12
  5. Step 5: Solve for x
    x = 87,372,443,602.12/419,359.26
  6. Step 6: Final answer
    x = 208,347.48

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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.