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Finding the Fourth Proportional to 419,297.48, 629,044.56 and 119,782.32

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Solution

The fourth proportional to 419,297.48, 629,044.56 and 119,782.32 is: 179,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,297.48 : 629,044.56 = 119,782.32 : x
  2. Step 2: Convert to fraction form
    419,297.48/629,044.56 = 119,782.32/x
  3. Step 3: Cross multiply
    419,297.48x = 629,044.56 × 119,782.32
  4. Step 4: Simplify right side
    419,297.48x = 75,348,416,780.18
  5. Step 5: Solve for x
    x = 75,348,416,780.18/419,297.48
  6. Step 6: Final answer
    x = 179,701.57

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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.