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Finding the Fourth Proportional to 1,394,139.96, 1,923,914.13 and 782,208.27

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Solution

The fourth proportional to 1,394,139.96, 1,923,914.13 and 782,208.27 is: 1,079,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,139.96 : 1,923,914.13 = 782,208.27 : x
  2. Step 2: Convert to fraction form
    1,394,139.96/1,923,914.13 = 782,208.27/x
  3. Step 3: Cross multiply
    1,394,139.96x = 1,923,914.13 × 782,208.27
  4. Step 4: Simplify right side
    1,394,139.96x = 1,504,901,543,255.86
  5. Step 5: Solve for x
    x = 1,504,901,543,255.86/1,394,139.96
  6. Step 6: Final answer
    x = 1,079,447.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.