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Finding the Fourth Proportional to 298,558.96, 412,009.56 and 164,422

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Solution

The fourth proportional to 298,558.96, 412,009.56 and 164,422 is: 226,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,558.96 : 412,009.56 = 164,422 : x
  2. Step 2: Convert to fraction form
    298,558.96/412,009.56 = 164,422/x
  3. Step 3: Cross multiply
    298,558.96x = 412,009.56 × 164,422
  4. Step 4: Simplify right side
    298,558.96x = 67,743,435,874.32
  5. Step 5: Solve for x
    x = 67,743,435,874.32/298,558.96
  6. Step 6: Final answer
    x = 226,901.37

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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.