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Finding the Fourth Proportional to 419,808.10, 629,774.74 and 135,405.16

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Solution

The fourth proportional to 419,808.10, 629,774.74 and 135,405.16 is: 203,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,808.10 : 629,774.74 = 135,405.16 : x
  2. Step 2: Convert to fraction form
    419,808.10/629,774.74 = 135,405.16/x
  3. Step 3: Cross multiply
    419,808.10x = 629,774.74 × 135,405.16
  4. Step 4: Simplify right side
    419,808.10x = 85,274,749,433.66
  5. Step 5: Solve for x
    x = 85,274,749,433.66/419,808.10
  6. Step 6: Final answer
    x = 203,127.93

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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.