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Finding the Fourth Proportional to 419,663.52, 629,681.28 and 219,936.24

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Solution

The fourth proportional to 419,663.52, 629,681.28 and 219,936.24 is: 330,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,663.52 : 629,681.28 = 219,936.24 : x
  2. Step 2: Convert to fraction form
    419,663.52/629,681.28 = 219,936.24/x
  3. Step 3: Cross multiply
    419,663.52x = 629,681.28 × 219,936.24
  4. Step 4: Simplify right side
    419,663.52x = 138,489,733,121.59
  5. Step 5: Solve for x
    x = 138,489,733,121.59/419,663.52
  6. Step 6: Final answer
    x = 330,001.84

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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.