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Finding the Fourth Proportional to 288,213.14, 431,969.70 and 203,997.98

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Solution

The fourth proportional to 288,213.14, 431,969.70 and 203,997.98 is: 305,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,213.14 : 431,969.70 = 203,997.98 : x
  2. Step 2: Convert to fraction form
    288,213.14/431,969.70 = 203,997.98/x
  3. Step 3: Cross multiply
    288,213.14x = 431,969.70 × 203,997.98
  4. Step 4: Simplify right side
    288,213.14x = 88,120,946,221.21
  5. Step 5: Solve for x
    x = 88,120,946,221.21/288,213.14
  6. Step 6: Final answer
    x = 305,749.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.