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Finding the Fourth Proportional to 289,072.52, 433,609.26 and 189,859.40

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Solution

The fourth proportional to 289,072.52, 433,609.26 and 189,859.40 is: 284,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,072.52 : 433,609.26 = 189,859.40 : x
  2. Step 2: Convert to fraction form
    289,072.52/433,609.26 = 189,859.40/x
  3. Step 3: Cross multiply
    289,072.52x = 433,609.26 × 189,859.40
  4. Step 4: Simplify right side
    289,072.52x = 82,324,793,938.04
  5. Step 5: Solve for x
    x = 82,324,793,938.04/289,072.52
  6. Step 6: Final answer
    x = 284,789.42

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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.