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Finding the Fourth Proportional to 315,859.25, 435,906.78 and 178,072.16

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Solution

The fourth proportional to 315,859.25, 435,906.78 and 178,072.16 is: 245,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,859.25 : 435,906.78 = 178,072.16 : x
  2. Step 2: Convert to fraction form
    315,859.25/435,906.78 = 178,072.16/x
  3. Step 3: Cross multiply
    315,859.25x = 435,906.78 × 178,072.16
  4. Step 4: Simplify right side
    315,859.25x = 77,622,861,873.24
  5. Step 5: Solve for x
    x = 77,622,861,873.24/315,859.25
  6. Step 6: Final answer
    x = 245,751.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.