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Finding the Fourth Proportional to 226,405.80, 339,608.70 and 209,298.60

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Solution

The fourth proportional to 226,405.80, 339,608.70 and 209,298.60 is: 313,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,405.80 : 339,608.70 = 209,298.60 : x
  2. Step 2: Convert to fraction form
    226,405.80/339,608.70 = 209,298.60/x
  3. Step 3: Cross multiply
    226,405.80x = 339,608.70 × 209,298.60
  4. Step 4: Simplify right side
    226,405.80x = 71,079,625,457.82
  5. Step 5: Solve for x
    x = 71,079,625,457.82/226,405.80
  6. Step 6: Final answer
    x = 313,947.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.