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Finding the Fourth Proportional to 414,610.94, 621,914.29 and 161,917.09

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Solution

The fourth proportional to 414,610.94, 621,914.29 and 161,917.09 is: 242,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,610.94 : 621,914.29 = 161,917.09 : x
  2. Step 2: Convert to fraction form
    414,610.94/621,914.29 = 161,917.09/x
  3. Step 3: Cross multiply
    414,610.94x = 621,914.29 × 161,917.09
  4. Step 4: Simplify right side
    414,610.94x = 100,698,552,066.22
  5. Step 5: Solve for x
    x = 100,698,552,066.22/414,610.94
  6. Step 6: Final answer
    x = 242,874.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.