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Finding the Fourth Proportional to 419,458.37, 629,269.80 and 166,691.75

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Solution

The fourth proportional to 419,458.37, 629,269.80 and 166,691.75 is: 250,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,458.37 : 629,269.80 = 166,691.75 : x
  2. Step 2: Convert to fraction form
    419,458.37/629,269.80 = 166,691.75/x
  3. Step 3: Cross multiply
    419,458.37x = 629,269.80 × 166,691.75
  4. Step 4: Simplify right side
    419,458.37x = 104,894,084,184.15
  5. Step 5: Solve for x
    x = 104,894,084,184.15/419,458.37
  6. Step 6: Final answer
    x = 250,070.31

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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.