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Finding the Fourth Proportional to 397,804, 548,969.54 and 218,956

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Solution

The fourth proportional to 397,804, 548,969.54 and 218,956 is: 302,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,804 : 548,969.54 = 218,956 : x
  2. Step 2: Convert to fraction form
    397,804/548,969.54 = 218,956/x
  3. Step 3: Cross multiply
    397,804x = 548,969.54 × 218,956
  4. Step 4: Simplify right side
    397,804x = 120,200,174,600.24
  5. Step 5: Solve for x
    x = 120,200,174,600.24/397,804
  6. Step 6: Final answer
    x = 302,159.29

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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.