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Finding the Fourth Proportional to 269,290.60, 403,676.70 and 209,285.80

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Solution

The fourth proportional to 269,290.60, 403,676.70 and 209,285.80 is: 313,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,290.60 : 403,676.70 = 209,285.80 : x
  2. Step 2: Convert to fraction form
    269,290.60/403,676.70 = 209,285.80/x
  3. Step 3: Cross multiply
    269,290.60x = 403,676.70 × 209,285.80
  4. Step 4: Simplify right side
    269,290.60x = 84,483,801,100.86
  5. Step 5: Solve for x
    x = 84,483,801,100.86/269,290.60
  6. Step 6: Final answer
    x = 313,727.26

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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.