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Finding the Fourth Proportional to 423,198.36, 634,865.46 and 123,640.92

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Solution

The fourth proportional to 423,198.36, 634,865.46 and 123,640.92 is: 185,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,198.36 : 634,865.46 = 123,640.92 : x
  2. Step 2: Convert to fraction form
    423,198.36/634,865.46 = 123,640.92/x
  3. Step 3: Cross multiply
    423,198.36x = 634,865.46 × 123,640.92
  4. Step 4: Simplify right side
    423,198.36x = 78,495,349,550.62
  5. Step 5: Solve for x
    x = 78,495,349,550.62/423,198.36
  6. Step 6: Final answer
    x = 185,481.22

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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.