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Finding the Fourth Proportional to 315,190.94, 434,945.78 and 179,257.96

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Solution

The fourth proportional to 315,190.94, 434,945.78 and 179,257.96 is: 247,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,190.94 : 434,945.78 = 179,257.96 : x
  2. Step 2: Convert to fraction form
    315,190.94/434,945.78 = 179,257.96/x
  3. Step 3: Cross multiply
    315,190.94x = 434,945.78 × 179,257.96
  4. Step 4: Simplify right side
    315,190.94x = 77,967,491,058.68
  5. Step 5: Solve for x
    x = 77,967,491,058.68/315,190.94
  6. Step 6: Final answer
    x = 247,365.90

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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.