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Finding the Fourth Proportional to 307,617.33, 461,497.75 and 105,215

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Solution

The fourth proportional to 307,617.33, 461,497.75 and 105,215 is: 157,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,617.33 : 461,497.75 = 105,215 : x
  2. Step 2: Convert to fraction form
    307,617.33/461,497.75 = 105,215/x
  3. Step 3: Cross multiply
    307,617.33x = 461,497.75 × 105,215
  4. Step 4: Simplify right side
    307,617.33x = 48,556,485,766.25
  5. Step 5: Solve for x
    x = 48,556,485,766.25/307,617.33
  6. Step 6: Final answer
    x = 157,847.04

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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.