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Finding the Fourth Proportional to 393,869, 543,536.36 and 224,112.44

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Solution

The fourth proportional to 393,869, 543,536.36 and 224,112.44 is: 309,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,869 : 543,536.36 = 224,112.44 : x
  2. Step 2: Convert to fraction form
    393,869/543,536.36 = 224,112.44/x
  3. Step 3: Cross multiply
    393,869x = 543,536.36 × 224,112.44
  4. Step 4: Simplify right side
    393,869x = 121,813,259,868.32
  5. Step 5: Solve for x
    x = 121,813,259,868.32/393,869
  6. Step 6: Final answer
    x = 309,273.54

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1.5x scale

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.