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Finding the Fourth Proportional to 419,905.44, 629,858.16 and 139,422.69

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Solution

The fourth proportional to 419,905.44, 629,858.16 and 139,422.69 is: 209,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905.44 : 629,858.16 = 139,422.69 : x
  2. Step 2: Convert to fraction form
    419,905.44/629,858.16 = 139,422.69/x
  3. Step 3: Cross multiply
    419,905.44x = 629,858.16 × 139,422.69
  4. Step 4: Simplify right side
    419,905.44x = 87,816,518,985.65
  5. Step 5: Solve for x
    x = 87,816,518,985.65/419,905.44
  6. Step 6: Final answer
    x = 209,134.04

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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.