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Finding the Fourth Proportional to 419,457.37, 629,268.30 and 166,690.75

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Solution

The fourth proportional to 419,457.37, 629,268.30 and 166,690.75 is: 250,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,457.37 : 629,268.30 = 166,690.75 : x
  2. Step 2: Convert to fraction form
    419,457.37/629,268.30 = 166,690.75/x
  3. Step 3: Cross multiply
    419,457.37x = 629,268.30 × 166,690.75
  4. Step 4: Simplify right side
    419,457.37x = 104,893,202,888.33
  5. Step 5: Solve for x
    x = 104,893,202,888.33/419,457.37
  6. Step 6: Final answer
    x = 250,068.80

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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.