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Finding the Fourth Proportional to 311,903.70, 467,199.45 and 259,415.70

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Solution

The fourth proportional to 311,903.70, 467,199.45 and 259,415.70 is: 388,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,903.70 : 467,199.45 = 259,415.70 : x
  2. Step 2: Convert to fraction form
    311,903.70/467,199.45 = 259,415.70/x
  3. Step 3: Cross multiply
    311,903.70x = 467,199.45 × 259,415.70
  4. Step 4: Simplify right side
    311,903.70x = 121,198,872,361.37
  5. Step 5: Solve for x
    x = 121,198,872,361.37/311,903.70
  6. Step 6: Final answer
    x = 388,577.86

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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.