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Finding the Fourth Proportional to 398,815.75, 550,365.78 and 219,967.75

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Solution

The fourth proportional to 398,815.75, 550,365.78 and 219,967.75 is: 303,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,815.75 : 550,365.78 = 219,967.75 : x
  2. Step 2: Convert to fraction form
    398,815.75/550,365.78 = 219,967.75/x
  3. Step 3: Cross multiply
    398,815.75x = 550,365.78 × 219,967.75
  4. Step 4: Simplify right side
    398,815.75x = 121,062,722,303.60
  5. Step 5: Solve for x
    x = 121,062,722,303.60/398,815.75
  6. Step 6: Final answer
    x = 303,555.52

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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.