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Finding the Fourth Proportional to 419,423.49, 629,235 and 135,140.94

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Solution

The fourth proportional to 419,423.49, 629,235 and 135,140.94 is: 202,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,423.49 : 629,235 = 135,140.94 : x
  2. Step 2: Convert to fraction form
    419,423.49/629,235 = 135,140.94/x
  3. Step 3: Cross multiply
    419,423.49x = 629,235 × 135,140.94
  4. Step 4: Simplify right side
    419,423.49x = 85,035,409,380.90
  5. Step 5: Solve for x
    x = 85,035,409,380.90/419,423.49
  6. Step 6: Final answer
    x = 202,743.55

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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.