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Finding the Fourth Proportional to 289,589.34, 399,629.43 and 162,267.42

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Solution

The fourth proportional to 289,589.34, 399,629.43 and 162,267.42 is: 223,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,589.34 : 399,629.43 = 162,267.42 : x
  2. Step 2: Convert to fraction form
    289,589.34/399,629.43 = 162,267.42/x
  3. Step 3: Cross multiply
    289,589.34x = 399,629.43 × 162,267.42
  4. Step 4: Simplify right side
    289,589.34x = 64,846,836,562.17
  5. Step 5: Solve for x
    x = 64,846,836,562.17/289,589.34
  6. Step 6: Final answer
    x = 223,926.88

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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.