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Finding the Fourth Proportional to 307,615.33, 461,494.75 and 105,213

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Solution

The fourth proportional to 307,615.33, 461,494.75 and 105,213 is: 157,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,615.33 : 461,494.75 = 105,213 : x
  2. Step 2: Convert to fraction form
    307,615.33/461,494.75 = 105,213/x
  3. Step 3: Cross multiply
    307,615.33x = 461,494.75 × 105,213
  4. Step 4: Simplify right side
    307,615.33x = 48,555,247,131.75
  5. Step 5: Solve for x
    x = 48,555,247,131.75/307,615.33
  6. Step 6: Final answer
    x = 157,844.04

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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.