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Finding the Fourth Proportional to 419,715.08, 629,695.44 and 135,400.16

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Solution

The fourth proportional to 419,715.08, 629,695.44 and 135,400.16 is: 203,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.08 : 629,695.44 = 135,400.16 : x
  2. Step 2: Convert to fraction form
    419,715.08/629,695.44 = 135,400.16/x
  3. Step 3: Cross multiply
    419,715.08x = 629,695.44 × 135,400.16
  4. Step 4: Simplify right side
    419,715.08x = 85,260,863,327.27
  5. Step 5: Solve for x
    x = 85,260,863,327.27/419,715.08
  6. Step 6: Final answer
    x = 203,139.86

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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.