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Finding the Fourth Proportional to 397,391.82, 548,378.55 and 227,636.88

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Solution

The fourth proportional to 397,391.82, 548,378.55 and 227,636.88 is: 314,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,391.82 : 548,378.55 = 227,636.88 : x
  2. Step 2: Convert to fraction form
    397,391.82/548,378.55 = 227,636.88/x
  3. Step 3: Cross multiply
    397,391.82x = 548,378.55 × 227,636.88
  4. Step 4: Simplify right side
    397,391.82x = 124,831,182,180.92
  5. Step 5: Solve for x
    x = 124,831,182,180.92/397,391.82
  6. Step 6: Final answer
    x = 314,126.20

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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.