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Finding the Fourth Proportional to 303,830.29, 419,310.37 and 167,876.15

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Solution

The fourth proportional to 303,830.29, 419,310.37 and 167,876.15 is: 231,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,830.29 : 419,310.37 = 167,876.15 : x
  2. Step 2: Convert to fraction form
    303,830.29/419,310.37 = 167,876.15/x
  3. Step 3: Cross multiply
    303,830.29x = 419,310.37 × 167,876.15
  4. Step 4: Simplify right side
    303,830.29x = 70,392,208,683.97
  5. Step 5: Solve for x
    x = 70,392,208,683.97/303,830.29
  6. Step 6: Final answer
    x = 231,682.66

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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.