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Finding the Fourth Proportional to 311,890.86, 467,447.76 and 143,231.88

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Solution

The fourth proportional to 311,890.86, 467,447.76 and 143,231.88 is: 214,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,890.86 : 467,447.76 = 143,231.88 : x
  2. Step 2: Convert to fraction form
    311,890.86/467,447.76 = 143,231.88/x
  3. Step 3: Cross multiply
    311,890.86x = 467,447.76 × 143,231.88
  4. Step 4: Simplify right side
    311,890.86x = 66,953,421,466.59
  5. Step 5: Solve for x
    x = 66,953,421,466.59/311,890.86
  6. Step 6: Final answer
    x = 214,669.39

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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.