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Finding the Fourth Proportional to 303,076.31, 418,424.51 and 269,449.25

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Solution

The fourth proportional to 303,076.31, 418,424.51 and 269,449.25 is: 371,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,076.31 : 418,424.51 = 269,449.25 : x
  2. Step 2: Convert to fraction form
    303,076.31/418,424.51 = 269,449.25/x
  3. Step 3: Cross multiply
    303,076.31x = 418,424.51 × 269,449.25
  4. Step 4: Simplify right side
    303,076.31x = 112,744,169,053.87
  5. Step 5: Solve for x
    x = 112,744,169,053.87/303,076.31
  6. Step 6: Final answer
    x = 371,999.28

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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.