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Finding the Fourth Proportional to 308,026.80, 462,040.20 and 274,201.20

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Solution

The fourth proportional to 308,026.80, 462,040.20 and 274,201.20 is: 411,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,026.80 : 462,040.20 = 274,201.20 : x
  2. Step 2: Convert to fraction form
    308,026.80/462,040.20 = 274,201.20/x
  3. Step 3: Cross multiply
    308,026.80x = 462,040.20 × 274,201.20
  4. Step 4: Simplify right side
    308,026.80x = 126,691,977,288.24
  5. Step 5: Solve for x
    x = 126,691,977,288.24/308,026.80
  6. Step 6: Final answer
    x = 411,301.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.