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Finding the Fourth Proportional to 288,189.76, 397,786.33 and 167,385.35

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Solution

The fourth proportional to 288,189.76, 397,786.33 and 167,385.35 is: 231,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,189.76 : 397,786.33 = 167,385.35 : x
  2. Step 2: Convert to fraction form
    288,189.76/397,786.33 = 167,385.35/x
  3. Step 3: Cross multiply
    288,189.76x = 397,786.33 × 167,385.35
  4. Step 4: Simplify right side
    288,189.76x = 66,583,604,072.27
  5. Step 5: Solve for x
    x = 66,583,604,072.27/288,189.76
  6. Step 6: Final answer
    x = 231,040.84

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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.