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Finding the Fourth Proportional to 354,512.94, 489,227.86 and 193,367.98

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Solution

The fourth proportional to 354,512.94, 489,227.86 and 193,367.98 is: 266,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,512.94 : 489,227.86 = 193,367.98 : x
  2. Step 2: Convert to fraction form
    354,512.94/489,227.86 = 193,367.98/x
  3. Step 3: Cross multiply
    354,512.94x = 489,227.86 × 193,367.98
  4. Step 4: Simplify right side
    354,512.94x = 94,601,002,813.47
  5. Step 5: Solve for x
    x = 94,601,002,813.47/354,512.94
  6. Step 6: Final answer
    x = 266,847.81

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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.