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Finding the Fourth Proportional to 315,391.44, 472,912.14 and 104,914.56

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Solution

The fourth proportional to 315,391.44, 472,912.14 and 104,914.56 is: 157,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,391.44 : 472,912.14 = 104,914.56 : x
  2. Step 2: Convert to fraction form
    315,391.44/472,912.14 = 104,914.56/x
  3. Step 3: Cross multiply
    315,391.44x = 472,912.14 × 104,914.56
  4. Step 4: Simplify right side
    315,391.44x = 49,615,369,086.76
  5. Step 5: Solve for x
    x = 49,615,369,086.76/315,391.44
  6. Step 6: Final answer
    x = 157,313.62

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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.