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Finding the Fourth Proportional to 419,429.55, 629,097.24 and 115,866.90

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Solution

The fourth proportional to 419,429.55, 629,097.24 and 115,866.90 is: 173,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,429.55 : 629,097.24 = 115,866.90 : x
  2. Step 2: Convert to fraction form
    419,429.55/629,097.24 = 115,866.90/x
  3. Step 3: Cross multiply
    419,429.55x = 629,097.24 × 115,866.90
  4. Step 4: Simplify right side
    419,429.55x = 72,891,546,997.36
  5. Step 5: Solve for x
    x = 72,891,546,997.36/419,429.55
  6. Step 6: Final answer
    x = 173,787.34

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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.