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Finding the Fourth Proportional to 298,906.12, 412,605.60 and 218,968.54

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Solution

The fourth proportional to 298,906.12, 412,605.60 and 218,968.54 is: 302,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906.12 : 412,605.60 = 218,968.54 : x
  2. Step 2: Convert to fraction form
    298,906.12/412,605.60 = 218,968.54/x
  3. Step 3: Cross multiply
    298,906.12x = 412,605.60 × 218,968.54
  4. Step 4: Simplify right side
    298,906.12x = 90,347,645,827.82
  5. Step 5: Solve for x
    x = 90,347,645,827.82/298,906.12
  6. Step 6: Final answer
    x = 302,260.94

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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.