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Finding the Fourth Proportional to 289,947.70, 400,122.93 and 162,620.56

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Solution

The fourth proportional to 289,947.70, 400,122.93 and 162,620.56 is: 224,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,947.70 : 400,122.93 = 162,620.56 : x
  2. Step 2: Convert to fraction form
    289,947.70/400,122.93 = 162,620.56/x
  3. Step 3: Cross multiply
    289,947.70x = 400,122.93 × 162,620.56
  4. Step 4: Simplify right side
    289,947.70x = 65,068,214,945.44
  5. Step 5: Solve for x
    x = 65,068,214,945.44/289,947.70
  6. Step 6: Final answer
    x = 224,413.63

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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.