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Finding the Fourth Proportional to 397,478.22, 548,519.55 and 227,713.02

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Solution

The fourth proportional to 397,478.22, 548,519.55 and 227,713.02 is: 314,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,478.22 : 548,519.55 = 227,713.02 : x
  2. Step 2: Convert to fraction form
    397,478.22/548,519.55 = 227,713.02/x
  3. Step 3: Cross multiply
    397,478.22x = 548,519.55 × 227,713.02
  4. Step 4: Simplify right side
    397,478.22x = 124,905,043,259.54
  5. Step 5: Solve for x
    x = 124,905,043,259.54/397,478.22
  6. Step 6: Final answer
    x = 314,243.74

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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.