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Finding the Fourth Proportional to 298,297.45, 411,646.16 and 164,161.45

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Solution

The fourth proportional to 298,297.45, 411,646.16 and 164,161.45 is: 226,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.45 : 411,646.16 = 164,161.45 : x
  2. Step 2: Convert to fraction form
    298,297.45/411,646.16 = 164,161.45/x
  3. Step 3: Cross multiply
    298,297.45x = 411,646.16 × 164,161.45
  4. Step 4: Simplify right side
    298,297.45x = 67,576,427,633.49
  5. Step 5: Solve for x
    x = 67,576,427,633.49/298,297.45
  6. Step 6: Final answer
    x = 226,540.42

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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.