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Finding the Fourth Proportional to 397,541.70, 548,597.70 and 227,764.89

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Solution

The fourth proportional to 397,541.70, 548,597.70 and 227,764.89 is: 314,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,541.70 : 548,597.70 = 227,764.89 : x
  2. Step 2: Convert to fraction form
    397,541.70/548,597.70 = 227,764.89/x
  3. Step 3: Cross multiply
    397,541.70x = 548,597.70 × 227,764.89
  4. Step 4: Simplify right side
    397,541.70x = 124,951,294,794.75
  5. Step 5: Solve for x
    x = 124,951,294,794.75/397,541.70
  6. Step 6: Final answer
    x = 314,309.91

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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.