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Finding the Fourth Proportional to 298,297.70, 411,646.50 and 164,161.70

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Solution

The fourth proportional to 298,297.70, 411,646.50 and 164,161.70 is: 226,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.70 : 411,646.50 = 164,161.70 : x
  2. Step 2: Convert to fraction form
    298,297.70/411,646.50 = 164,161.70/x
  3. Step 3: Cross multiply
    298,297.70x = 411,646.50 × 164,161.70
  4. Step 4: Simplify right side
    298,297.70x = 67,576,587,180.82
  5. Step 5: Solve for x
    x = 67,576,587,180.82/298,297.70
  6. Step 6: Final answer
    x = 226,540.76

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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.