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Finding the Fourth Proportional to 311,786.39, 467,203.78 and 162,075.31

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Solution

The fourth proportional to 311,786.39, 467,203.78 and 162,075.31 is: 242,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,786.39 : 467,203.78 = 162,075.31 : x
  2. Step 2: Convert to fraction form
    311,786.39/467,203.78 = 162,075.31/x
  3. Step 3: Cross multiply
    311,786.39x = 467,203.78 × 162,075.31
  4. Step 4: Simplify right side
    311,786.39x = 75,722,196,511.26
  5. Step 5: Solve for x
    x = 75,722,196,511.26/311,786.39
  6. Step 6: Final answer
    x = 242,865.62

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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.