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Finding the Fourth Proportional to 348,224, 480,549.12 and 206,912

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Solution

The fourth proportional to 348,224, 480,549.12 and 206,912 is: 285,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,224 : 480,549.12 = 206,912 : x
  2. Step 2: Convert to fraction form
    348,224/480,549.12 = 206,912/x
  3. Step 3: Cross multiply
    348,224x = 480,549.12 × 206,912
  4. Step 4: Simplify right side
    348,224x = 99,431,379,517.44
  5. Step 5: Solve for x
    x = 99,431,379,517.44/348,224
  6. Step 6: Final answer
    x = 285,538.56

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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.