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Finding the Fourth Proportional to 298,806.82, 412,342.94 and 162,838

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Solution

The fourth proportional to 298,806.82, 412,342.94 and 162,838 is: 224,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806.82 : 412,342.94 = 162,838 : x
  2. Step 2: Convert to fraction form
    298,806.82/412,342.94 = 162,838/x
  3. Step 3: Cross multiply
    298,806.82x = 412,342.94 × 162,838
  4. Step 4: Simplify right side
    298,806.82x = 67,145,099,663.72
  5. Step 5: Solve for x
    x = 67,145,099,663.72/298,806.82
  6. Step 6: Final answer
    x = 224,710.73

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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.