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Finding the Fourth Proportional to 298,190.81, 411,493.94 and 162,221.27

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Solution

The fourth proportional to 298,190.81, 411,493.94 and 162,221.27 is: 223,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.81 : 411,493.94 = 162,221.27 : x
  2. Step 2: Convert to fraction form
    298,190.81/411,493.94 = 162,221.27/x
  3. Step 3: Cross multiply
    298,190.81x = 411,493.94 × 162,221.27
  4. Step 4: Simplify right side
    298,190.81x = 66,753,068,733.00
  5. Step 5: Solve for x
    x = 66,753,068,733.00/298,190.81
  6. Step 6: Final answer
    x = 223,860.25

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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.