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Finding the Fourth Proportional to 234,930, 324,472.50 and 154,716.06

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Solution

The fourth proportional to 234,930, 324,472.50 and 154,716.06 is: 213,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,930 : 324,472.50 = 154,716.06 : x
  2. Step 2: Convert to fraction form
    234,930/324,472.50 = 154,716.06/x
  3. Step 3: Cross multiply
    234,930x = 324,472.50 × 154,716.06
  4. Step 4: Simplify right side
    234,930x = 50,201,106,778.35
  5. Step 5: Solve for x
    x = 50,201,106,778.35/234,930
  6. Step 6: Final answer
    x = 213,685.38

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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.