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Finding the Fourth Proportional to 269,194, 371,495.40 and 149,969.68

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Solution

The fourth proportional to 269,194, 371,495.40 and 149,969.68 is: 206,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194 : 371,495.40 = 149,969.68 : x
  2. Step 2: Convert to fraction form
    269,194/371,495.40 = 149,969.68/x
  3. Step 3: Cross multiply
    269,194x = 371,495.40 × 149,969.68
  4. Step 4: Simplify right side
    269,194x = 55,713,046,259.47
  5. Step 5: Solve for x
    x = 55,713,046,259.47/269,194
  6. Step 6: Final answer
    x = 206,962.44

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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.