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Finding the Fourth Proportional to 193,404, 290,550.72 and 137,380.32

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Solution

The fourth proportional to 193,404, 290,550.72 and 137,380.32 is: 206,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,404 : 290,550.72 = 137,380.32 : x
  2. Step 2: Convert to fraction form
    193,404/290,550.72 = 137,380.32/x
  3. Step 3: Cross multiply
    193,404x = 290,550.72 × 137,380.32
  4. Step 4: Simplify right side
    193,404x = 39,915,950,889.83
  5. Step 5: Solve for x
    x = 39,915,950,889.83/193,404
  6. Step 6: Final answer
    x = 206,386.38

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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.