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Finding the Fourth Proportional to 397,731.56, 548,869.56 and 218,883.56

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Solution

The fourth proportional to 397,731.56, 548,869.56 and 218,883.56 is: 302,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,731.56 : 548,869.56 = 218,883.56 : x
  2. Step 2: Convert to fraction form
    397,731.56/548,869.56 = 218,883.56/x
  3. Step 3: Cross multiply
    397,731.56x = 548,869.56 × 218,883.56
  4. Step 4: Simplify right side
    397,731.56x = 120,138,523,268.43
  5. Step 5: Solve for x
    x = 120,138,523,268.43/397,731.56
  6. Step 6: Final answer
    x = 302,059.32

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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.