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Finding the Fourth Proportional to 419,698.35, 629,670.11 and 135,382.59

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Solution

The fourth proportional to 419,698.35, 629,670.11 and 135,382.59 is: 203,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,698.35 : 629,670.11 = 135,382.59 : x
  2. Step 2: Convert to fraction form
    419,698.35/629,670.11 = 135,382.59/x
  3. Step 3: Cross multiply
    419,698.35x = 629,670.11 × 135,382.59
  4. Step 4: Simplify right side
    419,698.35x = 85,246,370,337.38
  5. Step 5: Solve for x
    x = 85,246,370,337.38/419,698.35
  6. Step 6: Final answer
    x = 203,113.43

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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.