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Finding the Fourth Proportional to 208,243.22, 312,364.83 and 50,471.68

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Solution

The fourth proportional to 208,243.22, 312,364.83 and 50,471.68 is: 75,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.22 : 312,364.83 = 50,471.68 : x
  2. Step 2: Convert to fraction form
    208,243.22/312,364.83 = 50,471.68/x
  3. Step 3: Cross multiply
    208,243.22x = 312,364.83 × 50,471.68
  4. Step 4: Simplify right side
    208,243.22x = 15,765,576,962.10
  5. Step 5: Solve for x
    x = 15,765,576,962.10/208,243.22
  6. Step 6: Final answer
    x = 75,707.52

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1.5x scale

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.