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Finding the Fourth Proportional to 298,622, 412,098.36 and 164,486

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Solution

The fourth proportional to 298,622, 412,098.36 and 164,486 is: 226,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,622 : 412,098.36 = 164,486 : x
  2. Step 2: Convert to fraction form
    298,622/412,098.36 = 164,486/x
  3. Step 3: Cross multiply
    298,622x = 412,098.36 × 164,486
  4. Step 4: Simplify right side
    298,622x = 67,784,410,842.96
  5. Step 5: Solve for x
    x = 67,784,410,842.96/298,622
  6. Step 6: Final answer
    x = 226,990.68

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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.