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Finding the Fourth Proportional to 398,766.96, 550,295.64 and 219,918.96

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Solution

The fourth proportional to 398,766.96, 550,295.64 and 219,918.96 is: 303,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,766.96 : 550,295.64 = 219,918.96 : x
  2. Step 2: Convert to fraction form
    398,766.96/550,295.64 = 219,918.96/x
  3. Step 3: Cross multiply
    398,766.96x = 550,295.64 × 219,918.96
  4. Step 4: Simplify right side
    398,766.96x = 121,020,444,841.33
  5. Step 5: Solve for x
    x = 121,020,444,841.33/398,766.96
  6. Step 6: Final answer
    x = 303,486.64

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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.