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Finding the Fourth Proportional to 548,728.86, 823,100.21 and 193,493.78

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Solution

The fourth proportional to 548,728.86, 823,100.21 and 193,493.78 is: 290,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,728.86 : 823,100.21 = 193,493.78 : x
  2. Step 2: Convert to fraction form
    548,728.86/823,100.21 = 193,493.78/x
  3. Step 3: Cross multiply
    548,728.86x = 823,100.21 × 193,493.78
  4. Step 4: Simplify right side
    548,728.86x = 159,264,765,868.72
  5. Step 5: Solve for x
    x = 159,264,765,868.72/548,728.86
  6. Step 6: Final answer
    x = 290,243.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.