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Finding the Fourth Proportional to 269,119, 371,384.22 and 149,887

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Solution

The fourth proportional to 269,119, 371,384.22 and 149,887 is: 206,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,119 : 371,384.22 = 149,887 : x
  2. Step 2: Convert to fraction form
    269,119/371,384.22 = 149,887/x
  3. Step 3: Cross multiply
    269,119x = 371,384.22 × 149,887
  4. Step 4: Simplify right side
    269,119x = 55,665,666,583.14
  5. Step 5: Solve for x
    x = 55,665,666,583.14/269,119
  6. Step 6: Final answer
    x = 206,844.06

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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.