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Finding the Fourth Proportional to 398,830.48, 550,377.32 and 219,982.48

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Solution

The fourth proportional to 398,830.48, 550,377.32 and 219,982.48 is: 303,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.48 : 550,377.32 = 219,982.48 : x
  2. Step 2: Convert to fraction form
    398,830.48/550,377.32 = 219,982.48/x
  3. Step 3: Cross multiply
    398,830.48x = 550,377.32 × 219,982.48
  4. Step 4: Simplify right side
    398,830.48x = 121,073,367,789.35
  5. Step 5: Solve for x
    x = 121,073,367,789.35/398,830.48
  6. Step 6: Final answer
    x = 303,571.00

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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.