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Finding the Fourth Proportional to 307,825.80, 461,738.70 and 274,648.20

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Solution

The fourth proportional to 307,825.80, 461,738.70 and 274,648.20 is: 411,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,825.80 : 461,738.70 = 274,648.20 : x
  2. Step 2: Convert to fraction form
    307,825.80/461,738.70 = 274,648.20/x
  3. Step 3: Cross multiply
    307,825.80x = 461,738.70 × 274,648.20
  4. Step 4: Simplify right side
    307,825.80x = 126,815,702,825.34
  5. Step 5: Solve for x
    x = 126,815,702,825.34/307,825.80
  6. Step 6: Final answer
    x = 411,972.30

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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.