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Finding the Fourth Proportional to 311,906.70, 467,860.05 and 278,664.30

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Solution

The fourth proportional to 311,906.70, 467,860.05 and 278,664.30 is: 417,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.70 : 467,860.05 = 278,664.30 : x
  2. Step 2: Convert to fraction form
    311,906.70/467,860.05 = 278,664.30/x
  3. Step 3: Cross multiply
    311,906.70x = 467,860.05 × 278,664.30
  4. Step 4: Simplify right side
    311,906.70x = 130,375,893,331.22
  5. Step 5: Solve for x
    x = 130,375,893,331.22/311,906.70
  6. Step 6: Final answer
    x = 417,996.45

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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.