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Finding the Fourth Proportional to 503,998.07, 756,144.75 and 149,021.33

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Solution

The fourth proportional to 503,998.07, 756,144.75 and 149,021.33 is: 223,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,998.07 : 756,144.75 = 149,021.33 : x
  2. Step 2: Convert to fraction form
    503,998.07/756,144.75 = 149,021.33/x
  3. Step 3: Cross multiply
    503,998.07x = 756,144.75 × 149,021.33
  4. Step 4: Simplify right side
    503,998.07x = 112,681,691,791.69
  5. Step 5: Solve for x
    x = 112,681,691,791.69/503,998.07
  6. Step 6: Final answer
    x = 223,575.64

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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.