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Finding the Fourth Proportional to 419,785.32, 629,863.46 and 220,057.94

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Solution

The fourth proportional to 419,785.32, 629,863.46 and 220,057.94 is: 330,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,785.32 : 629,863.46 = 220,057.94 : x
  2. Step 2: Convert to fraction form
    419,785.32/629,863.46 = 220,057.94/x
  3. Step 3: Cross multiply
    419,785.32x = 629,863.46 × 220,057.94
  4. Step 4: Simplify right side
    419,785.32x = 138,606,455,488.87
  5. Step 5: Solve for x
    x = 138,606,455,488.87/419,785.32
  6. Step 6: Final answer
    x = 330,184.14

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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.