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Finding the Fourth Proportional to 289,940.44, 435,035.80 and 156,914.56

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Solution

The fourth proportional to 289,940.44, 435,035.80 and 156,914.56 is: 235,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,940.44 : 435,035.80 = 156,914.56 : x
  2. Step 2: Convert to fraction form
    289,940.44/435,035.80 = 156,914.56/x
  3. Step 3: Cross multiply
    289,940.44x = 435,035.80 × 156,914.56
  4. Step 4: Simplify right side
    289,940.44x = 68,263,451,141.25
  5. Step 5: Solve for x
    x = 68,263,451,141.25/289,940.44
  6. Step 6: Final answer
    x = 235,439.57

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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.