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Finding the Fourth Proportional to 288,144.53, 397,693.09 and 165,708.60

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Solution

The fourth proportional to 288,144.53, 397,693.09 and 165,708.60 is: 228,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,144.53 : 397,693.09 = 165,708.60 : x
  2. Step 2: Convert to fraction form
    288,144.53/397,693.09 = 165,708.60/x
  3. Step 3: Cross multiply
    288,144.53x = 397,693.09 × 165,708.60
  4. Step 4: Simplify right side
    288,144.53x = 65,901,164,759.30
  5. Step 5: Solve for x
    x = 65,901,164,759.30/288,144.53
  6. Step 6: Final answer
    x = 228,708.71

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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.