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Finding the Fourth Proportional to 300,356.22, 414,474.71 and 164,389.89

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Solution

The fourth proportional to 300,356.22, 414,474.71 and 164,389.89 is: 226,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,356.22 : 414,474.71 = 164,389.89 : x
  2. Step 2: Convert to fraction form
    300,356.22/414,474.71 = 164,389.89/x
  3. Step 3: Cross multiply
    300,356.22x = 414,474.71 × 164,389.89
  4. Step 4: Simplify right side
    300,356.22x = 68,135,451,984.68
  5. Step 5: Solve for x
    x = 68,135,451,984.68/300,356.22
  6. Step 6: Final answer
    x = 226,848.81

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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.