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Finding the Fourth Proportional to 494,580.16, 682,512.54 and 279,712.16

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Solution

The fourth proportional to 494,580.16, 682,512.54 and 279,712.16 is: 385,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,580.16 : 682,512.54 = 279,712.16 : x
  2. Step 2: Convert to fraction form
    494,580.16/682,512.54 = 279,712.16/x
  3. Step 3: Cross multiply
    494,580.16x = 682,512.54 × 279,712.16
  4. Step 4: Simplify right side
    494,580.16x = 190,907,056,790.49
  5. Step 5: Solve for x
    x = 190,907,056,790.49/494,580.16
  6. Step 6: Final answer
    x = 385,998.21

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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.