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Finding the Fourth Proportional to 289,832.44, 399,548.82 and 203,528.56

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Solution

The fourth proportional to 289,832.44, 399,548.82 and 203,528.56 is: 280,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,832.44 : 399,548.82 = 203,528.56 : x
  2. Step 2: Convert to fraction form
    289,832.44/399,548.82 = 203,528.56/x
  3. Step 3: Cross multiply
    289,832.44x = 399,548.82 × 203,528.56
  4. Step 4: Simplify right side
    289,832.44x = 81,319,595,984.30
  5. Step 5: Solve for x
    x = 81,319,595,984.30/289,832.44
  6. Step 6: Final answer
    x = 280,574.51

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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.