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Finding the Fourth Proportional to 311,588.72, 467,195.88 and 121,823

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Solution

The fourth proportional to 311,588.72, 467,195.88 and 121,823 is: 182,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,588.72 : 467,195.88 = 121,823 : x
  2. Step 2: Convert to fraction form
    311,588.72/467,195.88 = 121,823/x
  3. Step 3: Cross multiply
    311,588.72x = 467,195.88 × 121,823
  4. Step 4: Simplify right side
    311,588.72x = 56,915,203,689.24
  5. Step 5: Solve for x
    x = 56,915,203,689.24/311,588.72
  6. Step 6: Final answer
    x = 182,661.31

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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.