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Finding the Fourth Proportional to 298,596.92, 412,092.78 and 223,014.20

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Solution

The fourth proportional to 298,596.92, 412,092.78 and 223,014.20 is: 307,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,596.92 : 412,092.78 = 223,014.20 : x
  2. Step 2: Convert to fraction form
    298,596.92/412,092.78 = 223,014.20/x
  3. Step 3: Cross multiply
    298,596.92x = 412,092.78 × 223,014.20
  4. Step 4: Simplify right side
    298,596.92x = 91,902,541,657.48
  5. Step 5: Solve for x
    x = 91,902,541,657.48/298,596.92
  6. Step 6: Final answer
    x = 307,781.28

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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.