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Finding the Fourth Proportional to 419,753.22, 629,752.90 and 135,487.64

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Solution

The fourth proportional to 419,753.22, 629,752.90 and 135,487.64 is: 203,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,753.22 : 629,752.90 = 135,487.64 : x
  2. Step 2: Convert to fraction form
    419,753.22/629,752.90 = 135,487.64/x
  3. Step 3: Cross multiply
    419,753.22x = 629,752.90 × 135,487.64
  4. Step 4: Simplify right side
    419,753.22x = 85,323,734,204.16
  5. Step 5: Solve for x
    x = 85,323,734,204.16/419,753.22
  6. Step 6: Final answer
    x = 203,271.18

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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.