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Finding the Fourth Proportional to 312,361.83, 468,542.75 and 75,704.52

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Solution

The fourth proportional to 312,361.83, 468,542.75 and 75,704.52 is: 113,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,361.83 : 468,542.75 = 75,704.52 : x
  2. Step 2: Convert to fraction form
    312,361.83/468,542.75 = 75,704.52/x
  3. Step 3: Cross multiply
    312,361.83x = 468,542.75 × 75,704.52
  4. Step 4: Simplify right side
    312,361.83x = 35,470,803,609.71
  5. Step 5: Solve for x
    x = 35,470,803,609.71/312,361.83
  6. Step 6: Final answer
    x = 113,556.78

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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.