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Finding the Fourth Proportional to 289,891.72, 434,008.12 and 196,229.80

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Solution

The fourth proportional to 289,891.72, 434,008.12 and 196,229.80 is: 293,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,891.72 : 434,008.12 = 196,229.80 : x
  2. Step 2: Convert to fraction form
    289,891.72/434,008.12 = 196,229.80/x
  3. Step 3: Cross multiply
    289,891.72x = 434,008.12 × 196,229.80
  4. Step 4: Simplify right side
    289,891.72x = 85,165,326,585.98
  5. Step 5: Solve for x
    x = 85,165,326,585.98/289,891.72
  6. Step 6: Final answer
    x = 293,783.23

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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.