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Finding the Fourth Proportional to 397,047.56, 547,959.22 and 218,236.68

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Solution

The fourth proportional to 397,047.56, 547,959.22 and 218,236.68 is: 301,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,047.56 : 547,959.22 = 218,236.68 : x
  2. Step 2: Convert to fraction form
    397,047.56/547,959.22 = 218,236.68/x
  3. Step 3: Cross multiply
    397,047.56x = 547,959.22 × 218,236.68
  4. Step 4: Simplify right side
    397,047.56x = 119,584,800,948.19
  5. Step 5: Solve for x
    x = 119,584,800,948.19/397,047.56
  6. Step 6: Final answer
    x = 301,185.08

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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.