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Finding the Fourth Proportional to 226,998.40, 340,497.60 and 209,939.80

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Solution

The fourth proportional to 226,998.40, 340,497.60 and 209,939.80 is: 314,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,998.40 : 340,497.60 = 209,939.80 : x
  2. Step 2: Convert to fraction form
    226,998.40/340,497.60 = 209,939.80/x
  3. Step 3: Cross multiply
    226,998.40x = 340,497.60 × 209,939.80
  4. Step 4: Simplify right side
    226,998.40x = 71,483,998,044.48
  5. Step 5: Solve for x
    x = 71,483,998,044.48/226,998.40
  6. Step 6: Final answer
    x = 314,909.70

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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.