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Finding the Fourth Proportional to 303,086.09, 418,249.70 and 167,120

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Solution

The fourth proportional to 303,086.09, 418,249.70 and 167,120 is: 230,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,086.09 : 418,249.70 = 167,120 : x
  2. Step 2: Convert to fraction form
    303,086.09/418,249.70 = 167,120/x
  3. Step 3: Cross multiply
    303,086.09x = 418,249.70 × 167,120
  4. Step 4: Simplify right side
    303,086.09x = 69,897,889,028.40
  5. Step 5: Solve for x
    x = 69,897,889,028.40/303,086.09
  6. Step 6: Final answer
    x = 230,620.58

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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.