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Finding the Fourth Proportional to 288,175.32, 431,912.79 and 203,959.98

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Solution

The fourth proportional to 288,175.32, 431,912.79 and 203,959.98 is: 305,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,175.32 : 431,912.79 = 203,959.98 : x
  2. Step 2: Convert to fraction form
    288,175.32/431,912.79 = 203,959.98/x
  3. Step 3: Cross multiply
    288,175.32x = 431,912.79 × 203,959.98
  4. Step 4: Simplify right side
    288,175.32x = 88,092,924,010.14
  5. Step 5: Solve for x
    x = 88,092,924,010.14/288,175.32
  6. Step 6: Final answer
    x = 305,692.12

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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.