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Finding the Fourth Proportional to 298,481.42, 411,933.42 and 222,898.70

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Solution

The fourth proportional to 298,481.42, 411,933.42 and 222,898.70 is: 307,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,481.42 : 411,933.42 = 222,898.70 : x
  2. Step 2: Convert to fraction form
    298,481.42/411,933.42 = 222,898.70/x
  3. Step 3: Cross multiply
    298,481.42x = 411,933.42 × 222,898.70
  4. Step 4: Simplify right side
    298,481.42x = 91,819,423,804.55
  5. Step 5: Solve for x
    x = 91,819,423,804.55/298,481.42
  6. Step 6: Final answer
    x = 307,621.91

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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.