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Finding the Fourth Proportional to 302,906.93, 418,009.61 and 166,941

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Solution

The fourth proportional to 302,906.93, 418,009.61 and 166,941 is: 230,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,906.93 : 418,009.61 = 166,941 : x
  2. Step 2: Convert to fraction form
    302,906.93/418,009.61 = 166,941/x
  3. Step 3: Cross multiply
    302,906.93x = 418,009.61 × 166,941
  4. Step 4: Simplify right side
    302,906.93x = 69,782,942,720.36
  5. Step 5: Solve for x
    x = 69,782,942,720.36/302,906.93
  6. Step 6: Final answer
    x = 230,377.51

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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.