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Finding the Fourth Proportional to 311,769.63, 467,353.73 and 143,405.26

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Solution

The fourth proportional to 311,769.63, 467,353.73 and 143,405.26 is: 214,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,769.63 : 467,353.73 = 143,405.26 : x
  2. Step 2: Convert to fraction form
    311,769.63/467,353.73 = 143,405.26/x
  3. Step 3: Cross multiply
    311,769.63x = 467,353.73 × 143,405.26
  4. Step 4: Simplify right side
    311,769.63x = 67,020,982,352.75
  5. Step 5: Solve for x
    x = 67,020,982,352.75/311,769.63
  6. Step 6: Final answer
    x = 214,969.57

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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.