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Finding the Fourth Proportional to 290,993.96, 401,571.94 and 163,669.80

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Solution

The fourth proportional to 290,993.96, 401,571.94 and 163,669.80 is: 225,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,993.96 : 401,571.94 = 163,669.80 : x
  2. Step 2: Convert to fraction form
    290,993.96/401,571.94 = 163,669.80/x
  3. Step 3: Cross multiply
    290,993.96x = 401,571.94 × 163,669.80
  4. Step 4: Simplify right side
    290,993.96x = 65,725,199,105.41
  5. Step 5: Solve for x
    x = 65,725,199,105.41/290,993.96
  6. Step 6: Final answer
    x = 225,864.48

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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.