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Finding the Fourth Proportional to 419,426.50, 629,239.50 and 135,143.94

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Solution

The fourth proportional to 419,426.50, 629,239.50 and 135,143.94 is: 202,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,426.50 : 629,239.50 = 135,143.94 : x
  2. Step 2: Convert to fraction form
    419,426.50/629,239.50 = 135,143.94/x
  3. Step 3: Cross multiply
    419,426.50x = 629,239.50 × 135,143.94
  4. Step 4: Simplify right side
    419,426.50x = 85,037,905,233.63
  5. Step 5: Solve for x
    x = 85,037,905,233.63/419,426.50
  6. Step 6: Final answer
    x = 202,748.05

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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.