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Finding the Fourth Proportional to 288,023.49, 397,469.57 and 158,968.89

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Solution

The fourth proportional to 288,023.49, 397,469.57 and 158,968.89 is: 219,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,023.49 : 397,469.57 = 158,968.89 : x
  2. Step 2: Convert to fraction form
    288,023.49/397,469.57 = 158,968.89/x
  3. Step 3: Cross multiply
    288,023.49x = 397,469.57 × 158,968.89
  4. Step 4: Simplify right side
    288,023.49x = 63,185,295,556.83
  5. Step 5: Solve for x
    x = 63,185,295,556.83/288,023.49
  6. Step 6: Final answer
    x = 219,375.49

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1.5x scale

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.