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Finding the Fourth Proportional to 354,447.92, 489,147.38 and 193,309.76

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Solution

The fourth proportional to 354,447.92, 489,147.38 and 193,309.76 is: 266,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,447.92 : 489,147.38 = 193,309.76 : x
  2. Step 2: Convert to fraction form
    354,447.92/489,147.38 = 193,309.76/x
  3. Step 3: Cross multiply
    354,447.92x = 489,147.38 × 193,309.76
  4. Step 4: Simplify right side
    354,447.92x = 94,556,962,632.43
  5. Step 5: Solve for x
    x = 94,556,962,632.43/354,447.92
  6. Step 6: Final answer
    x = 266,772.51

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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.