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Finding the Fourth Proportional to 298,479.42, 411,930.66 and 222,896.70

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Solution

The fourth proportional to 298,479.42, 411,930.66 and 222,896.70 is: 307,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,479.42 : 411,930.66 = 222,896.70 : x
  2. Step 2: Convert to fraction form
    298,479.42/411,930.66 = 222,896.70/x
  3. Step 3: Cross multiply
    298,479.42x = 411,930.66 × 222,896.70
  4. Step 4: Simplify right side
    298,479.42x = 91,817,984,742.82
  5. Step 5: Solve for x
    x = 91,817,984,742.82/298,479.42
  6. Step 6: Final answer
    x = 307,619.15

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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.