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Finding the Fourth Proportional to 419,269.14, 629,007.39 and 138,814.74

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Solution

The fourth proportional to 419,269.14, 629,007.39 and 138,814.74 is: 208,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,269.14 : 629,007.39 = 138,814.74 : x
  2. Step 2: Convert to fraction form
    419,269.14/629,007.39 = 138,814.74/x
  3. Step 3: Cross multiply
    419,269.14x = 629,007.39 × 138,814.74
  4. Step 4: Simplify right side
    419,269.14x = 87,315,497,300.93
  5. Step 5: Solve for x
    x = 87,315,497,300.93/419,269.14
  6. Step 6: Final answer
    x = 208,256.44

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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.