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Finding the Fourth Proportional to 419,269.76, 629,030.56 and 131,069.80

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Solution

The fourth proportional to 419,269.76, 629,030.56 and 131,069.80 is: 196,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,269.76 : 629,030.56 = 131,069.80 : x
  2. Step 2: Convert to fraction form
    419,269.76/629,030.56 = 131,069.80/x
  3. Step 3: Cross multiply
    419,269.76x = 629,030.56 × 131,069.80
  4. Step 4: Simplify right side
    419,269.76x = 82,446,909,693.09
  5. Step 5: Solve for x
    x = 82,446,909,693.09/419,269.76
  6. Step 6: Final answer
    x = 196,644.06

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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.