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Finding the Fourth Proportional to 234,928, 324,469.74 and 154,714.06

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Solution

The fourth proportional to 234,928, 324,469.74 and 154,714.06 is: 213,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,928 : 324,469.74 = 154,714.06 : x
  2. Step 2: Convert to fraction form
    234,928/324,469.74 = 154,714.06/x
  3. Step 3: Cross multiply
    234,928x = 324,469.74 × 154,714.06
  4. Step 4: Simplify right side
    234,928x = 50,200,030,822.54
  5. Step 5: Solve for x
    x = 50,200,030,822.54/234,928
  6. Step 6: Final answer
    x = 213,682.62

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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.