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Finding the Fourth Proportional to 289,572.19, 433,878.23 and 204,912.88

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Solution

The fourth proportional to 289,572.19, 433,878.23 and 204,912.88 is: 307,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,572.19 : 433,878.23 = 204,912.88 : x
  2. Step 2: Convert to fraction form
    289,572.19/433,878.23 = 204,912.88/x
  3. Step 3: Cross multiply
    289,572.19x = 433,878.23 × 204,912.88
  4. Step 4: Simplify right side
    289,572.19x = 88,907,236,654.04
  5. Step 5: Solve for x
    x = 88,907,236,654.04/289,572.19
  6. Step 6: Final answer
    x = 307,029.61

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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.