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Finding the Fourth Proportional to 311,364, 467,075.16 and 100,945.44

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Solution

The fourth proportional to 311,364, 467,075.16 and 100,945.44 is: 151,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,364 : 467,075.16 = 100,945.44 : x
  2. Step 2: Convert to fraction form
    311,364/467,075.16 = 100,945.44/x
  3. Step 3: Cross multiply
    311,364x = 467,075.16 × 100,945.44
  4. Step 4: Simplify right side
    311,364x = 47,149,107,539.27
  5. Step 5: Solve for x
    x = 47,149,107,539.27/311,364
  6. Step 6: Final answer
    x = 151,427.61

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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.