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Finding the Fourth Proportional to 303,075.06, 418,422.78 and 269,448

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Solution

The fourth proportional to 303,075.06, 418,422.78 and 269,448 is: 371,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,075.06 : 418,422.78 = 269,448 : x
  2. Step 2: Convert to fraction form
    303,075.06/418,422.78 = 269,448/x
  3. Step 3: Cross multiply
    303,075.06x = 418,422.78 × 269,448
  4. Step 4: Simplify right side
    303,075.06x = 112,743,181,225.44
  5. Step 5: Solve for x
    x = 112,743,181,225.44/303,075.06
  6. Step 6: Final answer
    x = 371,997.55

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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.