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Finding the Fourth Proportional to 311,971.77, 467,969.38 and 87,326.44

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Solution

The fourth proportional to 311,971.77, 467,969.38 and 87,326.44 is: 130,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,971.77 : 467,969.38 = 87,326.44 : x
  2. Step 2: Convert to fraction form
    311,971.77/467,969.38 = 87,326.44/x
  3. Step 3: Cross multiply
    311,971.77x = 467,969.38 × 87,326.44
  4. Step 4: Simplify right side
    311,971.77x = 40,866,099,087.38
  5. Step 5: Solve for x
    x = 40,866,099,087.38/311,971.77
  6. Step 6: Final answer
    x = 130,992.94

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1.5x scale

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.