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Finding the Fourth Proportional to 397,199.88, 548,123.76 and 227,422.80

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Solution

The fourth proportional to 397,199.88, 548,123.76 and 227,422.80 is: 313,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,199.88 : 548,123.76 = 227,422.80 : x
  2. Step 2: Convert to fraction form
    397,199.88/548,123.76 = 227,422.80/x
  3. Step 3: Cross multiply
    397,199.88x = 548,123.76 × 227,422.80
  4. Step 4: Simplify right side
    397,199.88x = 124,655,840,245.73
  5. Step 5: Solve for x
    x = 124,655,840,245.73/397,199.88
  6. Step 6: Final answer
    x = 313,836.55

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1.5x scale

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.