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Finding the Fourth Proportional to 307,563.70, 461,345.55 and 274,321.30

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Solution

The fourth proportional to 307,563.70, 461,345.55 and 274,321.30 is: 411,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,563.70 : 461,345.55 = 274,321.30 : x
  2. Step 2: Convert to fraction form
    307,563.70/461,345.55 = 274,321.30/x
  3. Step 3: Cross multiply
    307,563.70x = 461,345.55 × 274,321.30
  4. Step 4: Simplify right side
    307,563.70x = 126,556,911,025.22
  5. Step 5: Solve for x
    x = 126,556,911,025.22/307,563.70
  6. Step 6: Final answer
    x = 411,481.95

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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.