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Finding the Fourth Proportional to 303,076.06, 418,424.16 and 269,449

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Solution

The fourth proportional to 303,076.06, 418,424.16 and 269,449 is: 371,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,076.06 : 418,424.16 = 269,449 : x
  2. Step 2: Convert to fraction form
    303,076.06/418,424.16 = 269,449/x
  3. Step 3: Cross multiply
    303,076.06x = 418,424.16 × 269,449
  4. Step 4: Simplify right side
    303,076.06x = 112,743,971,487.84
  5. Step 5: Solve for x
    x = 112,743,971,487.84/303,076.06
  6. Step 6: Final answer
    x = 371,998.93

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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.