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Finding the Fourth Proportional to 397,652, 548,759.76 and 218,804

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Solution

The fourth proportional to 397,652, 548,759.76 and 218,804 is: 301,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,652 : 548,759.76 = 218,804 : x
  2. Step 2: Convert to fraction form
    397,652/548,759.76 = 218,804/x
  3. Step 3: Cross multiply
    397,652x = 548,759.76 × 218,804
  4. Step 4: Simplify right side
    397,652x = 120,070,830,527.04
  5. Step 5: Solve for x
    x = 120,070,830,527.04/397,652
  6. Step 6: Final answer
    x = 301,949.52

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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.