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Finding the Fourth Proportional to 259,806.54, 358,208.75 and 198,628.55

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Solution

The fourth proportional to 259,806.54, 358,208.75 and 198,628.55 is: 273,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,806.54 : 358,208.75 = 198,628.55 : x
  2. Step 2: Convert to fraction form
    259,806.54/358,208.75 = 198,628.55/x
  3. Step 3: Cross multiply
    259,806.54x = 358,208.75 × 198,628.55
  4. Step 4: Simplify right side
    259,806.54x = 71,150,483,092.52
  5. Step 5: Solve for x
    x = 71,150,483,092.52/259,806.54
  6. Step 6: Final answer
    x = 273,859.48

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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.