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Finding the Fourth Proportional to 311,826.72, 467,733.60 and 124,788

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Solution

The fourth proportional to 311,826.72, 467,733.60 and 124,788 is: 187,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,826.72 : 467,733.60 = 124,788 : x
  2. Step 2: Convert to fraction form
    311,826.72/467,733.60 = 124,788/x
  3. Step 3: Cross multiply
    311,826.72x = 467,733.60 × 124,788
  4. Step 4: Simplify right side
    311,826.72x = 58,367,540,476.80
  5. Step 5: Solve for x
    x = 58,367,540,476.80/311,826.72
  6. Step 6: Final answer
    x = 187,179.41

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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.