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Finding the Fourth Proportional to 419,644.40, 629,652.69 and 219,917.36

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Solution

The fourth proportional to 419,644.40, 629,652.69 and 219,917.36 is: 329,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,644.40 : 629,652.69 = 219,917.36 : x
  2. Step 2: Convert to fraction form
    419,644.40/629,652.69 = 219,917.36/x
  3. Step 3: Cross multiply
    419,644.40x = 629,652.69 × 219,917.36
  4. Step 4: Simplify right side
    419,644.40x = 138,471,558,875.83
  5. Step 5: Solve for x
    x = 138,471,558,875.83/419,644.40
  6. Step 6: Final answer
    x = 329,973.57

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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.