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Finding the Fourth Proportional to 303,874.32, 419,337.74 and 167,906.10

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Solution

The fourth proportional to 303,874.32, 419,337.74 and 167,906.10 is: 231,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,874.32 : 419,337.74 = 167,906.10 : x
  2. Step 2: Convert to fraction form
    303,874.32/419,337.74 = 167,906.10/x
  3. Step 3: Cross multiply
    303,874.32x = 419,337.74 × 167,906.10
  4. Step 4: Simplify right side
    303,874.32x = 70,409,364,506.21
  5. Step 5: Solve for x
    x = 70,409,364,506.21/303,874.32
  6. Step 6: Final answer
    x = 231,705.54

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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.