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Finding the Fourth Proportional to 300,872.47, 415,208.55 and 164,905.33

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Solution

The fourth proportional to 300,872.47, 415,208.55 and 164,905.33 is: 227,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,872.47 : 415,208.55 = 164,905.33 : x
  2. Step 2: Convert to fraction form
    300,872.47/415,208.55 = 164,905.33/x
  3. Step 3: Cross multiply
    300,872.47x = 415,208.55 × 164,905.33
  4. Step 4: Simplify right side
    300,872.47x = 68,470,102,956.57
  5. Step 5: Solve for x
    x = 68,470,102,956.57/300,872.47
  6. Step 6: Final answer
    x = 227,571.84

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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.