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Finding the Fourth Proportional to 208,305, 312,457.64 and 50,533.47

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Solution

The fourth proportional to 208,305, 312,457.64 and 50,533.47 is: 75,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,305 : 312,457.64 = 50,533.47 : x
  2. Step 2: Convert to fraction form
    208,305/312,457.64 = 50,533.47/x
  3. Step 3: Cross multiply
    208,305x = 312,457.64 × 50,533.47
  4. Step 4: Simplify right side
    208,305x = 15,789,568,524.54
  5. Step 5: Solve for x
    x = 15,789,568,524.54/208,305
  6. Step 6: Final answer
    x = 75,800.24

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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.