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Finding the Fourth Proportional to 414,099.77, 621,295.46 and 203,885.33

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Solution

The fourth proportional to 414,099.77, 621,295.46 and 203,885.33 is: 305,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,099.77 : 621,295.46 = 203,885.33 : x
  2. Step 2: Convert to fraction form
    414,099.77/621,295.46 = 203,885.33/x
  3. Step 3: Cross multiply
    414,099.77x = 621,295.46 × 203,885.33
  4. Step 4: Simplify right side
    414,099.77x = 126,673,028,870.18
  5. Step 5: Solve for x
    x = 126,673,028,870.18/414,099.77
  6. Step 6: Final answer
    x = 305,899.78

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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.