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Finding the Fourth Proportional to 419,580, 629,469.63 and 139,097.25

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Solution

The fourth proportional to 419,580, 629,469.63 and 139,097.25 is: 208,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,580 : 629,469.63 = 139,097.25 : x
  2. Step 2: Convert to fraction form
    419,580/629,469.63 = 139,097.25/x
  3. Step 3: Cross multiply
    419,580x = 629,469.63 × 139,097.25
  4. Step 4: Simplify right side
    419,580x = 87,557,494,491.52
  5. Step 5: Solve for x
    x = 87,557,494,491.52/419,580
  6. Step 6: Final answer
    x = 208,678.90

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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.