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Finding the Fourth Proportional to 289,366.78, 434,715.38 and 204,173.71

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Solution

The fourth proportional to 289,366.78, 434,715.38 and 204,173.71 is: 306,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,366.78 : 434,715.38 = 204,173.71 : x
  2. Step 2: Convert to fraction form
    289,366.78/434,715.38 = 204,173.71/x
  3. Step 3: Cross multiply
    289,366.78x = 434,715.38 × 204,173.71
  4. Step 4: Simplify right side
    289,366.78x = 88,757,451,928.66
  5. Step 5: Solve for x
    x = 88,757,451,928.66/289,366.78
  6. Step 6: Final answer
    x = 306,729.93

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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.