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Finding the Fourth Proportional to 269,393.22, 403,478.15 and 208,936.37

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Solution

The fourth proportional to 269,393.22, 403,478.15 and 208,936.37 is: 312,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,393.22 : 403,478.15 = 208,936.37 : x
  2. Step 2: Convert to fraction form
    269,393.22/403,478.15 = 208,936.37/x
  3. Step 3: Cross multiply
    269,393.22x = 403,478.15 × 208,936.37
  4. Step 4: Simplify right side
    269,393.22x = 84,301,259,999.33
  5. Step 5: Solve for x
    x = 84,301,259,999.33/269,393.22
  6. Step 6: Final answer
    x = 312,930.15

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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.