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Finding the Fourth Proportional to 287,912.82, 397,319.94 and 167,078.64

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Solution

The fourth proportional to 287,912.82, 397,319.94 and 167,078.64 is: 230,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,912.82 : 397,319.94 = 167,078.64 : x
  2. Step 2: Convert to fraction form
    287,912.82/397,319.94 = 167,078.64/x
  3. Step 3: Cross multiply
    287,912.82x = 397,319.94 × 167,078.64
  4. Step 4: Simplify right side
    287,912.82x = 66,383,675,220.08
  5. Step 5: Solve for x
    x = 66,383,675,220.08/287,912.82
  6. Step 6: Final answer
    x = 230,568.67

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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.