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Finding the Fourth Proportional to 298,728, 412,245.92 and 164,589.12

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Solution

The fourth proportional to 298,728, 412,245.92 and 164,589.12 is: 227,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,728 : 412,245.92 = 164,589.12 : x
  2. Step 2: Convert to fraction form
    298,728/412,245.92 = 164,589.12/x
  3. Step 3: Cross multiply
    298,728x = 412,245.92 × 164,589.12
  4. Step 4: Simplify right side
    298,728x = 67,851,193,196.39
  5. Step 5: Solve for x
    x = 67,851,193,196.39/298,728
  6. Step 6: Final answer
    x = 227,133.69

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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.