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Finding the Fourth Proportional to 311,630.67, 467,076.94 and 143,008.87

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Solution

The fourth proportional to 311,630.67, 467,076.94 and 143,008.87 is: 214,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,630.67 : 467,076.94 = 143,008.87 : x
  2. Step 2: Convert to fraction form
    311,630.67/467,076.94 = 143,008.87/x
  3. Step 3: Cross multiply
    311,630.67x = 467,076.94 × 143,008.87
  4. Step 4: Simplify right side
    311,630.67x = 66,796,145,392.46
  5. Step 5: Solve for x
    x = 66,796,145,392.46/311,630.67
  6. Step 6: Final answer
    x = 214,343.94

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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.