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Finding the Fourth Proportional to 298,406, 411,800.28 and 164,270

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Solution

The fourth proportional to 298,406, 411,800.28 and 164,270 is: 226,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,406 : 411,800.28 = 164,270 : x
  2. Step 2: Convert to fraction form
    298,406/411,800.28 = 164,270/x
  3. Step 3: Cross multiply
    298,406x = 411,800.28 × 164,270
  4. Step 4: Simplify right side
    298,406x = 67,646,431,995.60
  5. Step 5: Solve for x
    x = 67,646,431,995.60/298,406
  6. Step 6: Final answer
    x = 226,692.60

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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.