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Finding the Fourth Proportional to 283,857, 391,704.78 and 162,913.17

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Solution

The fourth proportional to 283,857, 391,704.78 and 162,913.17 is: 224,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,857 : 391,704.78 = 162,913.17 : x
  2. Step 2: Convert to fraction form
    283,857/391,704.78 = 162,913.17/x
  3. Step 3: Cross multiply
    283,857x = 391,704.78 × 162,913.17
  4. Step 4: Simplify right side
    283,857x = 63,813,867,413.95
  5. Step 5: Solve for x
    x = 63,813,867,413.95/283,857
  6. Step 6: Final answer
    x = 224,809.91

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1.5x scale

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.