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Finding the Fourth Proportional to 419,863.80, 629,776.54 and 135,567.48

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Solution

The fourth proportional to 419,863.80, 629,776.54 and 135,567.48 is: 203,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,863.80 : 629,776.54 = 135,567.48 : x
  2. Step 2: Convert to fraction form
    419,863.80/629,776.54 = 135,567.48/x
  3. Step 3: Cross multiply
    419,863.80x = 629,776.54 × 135,567.48
  4. Step 4: Simplify right side
    419,863.80x = 85,377,218,490.92
  5. Step 5: Solve for x
    x = 85,377,218,490.92/419,863.80
  6. Step 6: Final answer
    x = 203,345.03

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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.