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Finding the Fourth Proportional to 548,218.53, 821,767.68 and 311,060.25

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Solution

The fourth proportional to 548,218.53, 821,767.68 and 311,060.25 is: 466,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,218.53 : 821,767.68 = 311,060.25 : x
  2. Step 2: Convert to fraction form
    548,218.53/821,767.68 = 311,060.25/x
  3. Step 3: Cross multiply
    548,218.53x = 821,767.68 × 311,060.25
  4. Step 4: Simplify right side
    548,218.53x = 255,619,259,982.72
  5. Step 5: Solve for x
    x = 255,619,259,982.72/548,218.53
  6. Step 6: Final answer
    x = 466,272.56

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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.