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Finding the Fourth Proportional to 298,511.60, 411,945.36 and 162,543.44

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Solution

The fourth proportional to 298,511.60, 411,945.36 and 162,543.44 is: 224,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,511.60 : 411,945.36 = 162,543.44 : x
  2. Step 2: Convert to fraction form
    298,511.60/411,945.36 = 162,543.44/x
  3. Step 3: Cross multiply
    298,511.60x = 411,945.36 × 162,543.44
  4. Step 4: Simplify right side
    298,511.60x = 66,959,015,906.44
  5. Step 5: Solve for x
    x = 66,959,015,906.44/298,511.60
  6. Step 6: Final answer
    x = 224,309.59

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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.