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Finding the Fourth Proportional to 312,388.54, 468,578.67 and 75,733.36

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Solution

The fourth proportional to 312,388.54, 468,578.67 and 75,733.36 is: 113,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,388.54 : 468,578.67 = 75,733.36 : x
  2. Step 2: Convert to fraction form
    312,388.54/468,578.67 = 75,733.36/x
  3. Step 3: Cross multiply
    312,388.54x = 468,578.67 × 75,733.36
  4. Step 4: Simplify right side
    312,388.54x = 35,487,037,103.43
  5. Step 5: Solve for x
    x = 35,487,037,103.43/312,388.54
  6. Step 6: Final answer
    x = 113,599.04

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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.