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Finding the Fourth Proportional to 298,800, 412,369.92 and 164,689.92

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Solution

The fourth proportional to 298,800, 412,369.92 and 164,689.92 is: 227,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,800 : 412,369.92 = 164,689.92 : x
  2. Step 2: Convert to fraction form
    298,800/412,369.92 = 164,689.92/x
  3. Step 3: Cross multiply
    298,800x = 412,369.92 × 164,689.92
  4. Step 4: Simplify right side
    298,800x = 67,913,169,135.21
  5. Step 5: Solve for x
    x = 67,913,169,135.21/298,800
  6. Step 6: Final answer
    x = 227,286.38

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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.