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Finding the Fourth Proportional to 398,852, 550,454.64 and 220,004

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Solution

The fourth proportional to 398,852, 550,454.64 and 220,004 is: 303,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,852 : 550,454.64 = 220,004 : x
  2. Step 2: Convert to fraction form
    398,852/550,454.64 = 220,004/x
  3. Step 3: Cross multiply
    398,852x = 550,454.64 × 220,004
  4. Step 4: Simplify right side
    398,852x = 121,102,222,618.56
  5. Step 5: Solve for x
    x = 121,102,222,618.56/398,852
  6. Step 6: Final answer
    x = 303,626.97

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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.