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Finding the Fourth Proportional to 311,906.40, 467,472 and 143,247.80

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Solution

The fourth proportional to 311,906.40, 467,472 and 143,247.80 is: 214,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.40 : 467,472 = 143,247.80 : x
  2. Step 2: Convert to fraction form
    311,906.40/467,472 = 143,247.80/x
  3. Step 3: Cross multiply
    311,906.40x = 467,472 × 143,247.80
  4. Step 4: Simplify right side
    311,906.40x = 66,964,333,224.24
  5. Step 5: Solve for x
    x = 66,964,333,224.24/311,906.40
  6. Step 6: Final answer
    x = 214,693.68

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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.