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Finding the Fourth Proportional to 419,457.88, 629,098.73 and 135,174

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Solution

The fourth proportional to 419,457.88, 629,098.73 and 135,174 is: 202,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,457.88 : 629,098.73 = 135,174 : x
  2. Step 2: Convert to fraction form
    419,457.88/629,098.73 = 135,174/x
  3. Step 3: Cross multiply
    419,457.88x = 629,098.73 × 135,174
  4. Step 4: Simplify right side
    419,457.88x = 85,037,791,729.02
  5. Step 5: Solve for x
    x = 85,037,791,729.02/419,457.88
  6. Step 6: Final answer
    x = 202,732.61

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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.