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Finding the Fourth Proportional to 419,930.67, 629,710.68 and 120,343.26

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Solution

The fourth proportional to 419,930.67, 629,710.68 and 120,343.26 is: 180,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,930.67 : 629,710.68 = 120,343.26 : x
  2. Step 2: Convert to fraction form
    419,930.67/629,710.68 = 120,343.26/x
  3. Step 3: Cross multiply
    419,930.67x = 629,710.68 × 120,343.26
  4. Step 4: Simplify right side
    419,930.67x = 75,781,436,088.02
  5. Step 5: Solve for x
    x = 75,781,436,088.02/419,930.67
  6. Step 6: Final answer
    x = 180,461.78

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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.