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Finding the Fourth Proportional to 298,495.42, 411,952.74 and 222,912.70

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Solution

The fourth proportional to 298,495.42, 411,952.74 and 222,912.70 is: 307,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,495.42 : 411,952.74 = 222,912.70 : x
  2. Step 2: Convert to fraction form
    298,495.42/411,952.74 = 222,912.70/x
  3. Step 3: Cross multiply
    298,495.42x = 411,952.74 × 222,912.70
  4. Step 4: Simplify right side
    298,495.42x = 91,829,497,545.80
  5. Step 5: Solve for x
    x = 91,829,497,545.80/298,495.42
  6. Step 6: Final answer
    x = 307,641.23

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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.