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Finding the Fourth Proportional to 208,243.17, 312,364.76 and 50,471.63

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Solution

The fourth proportional to 208,243.17, 312,364.76 and 50,471.63 is: 75,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.17 : 312,364.76 = 50,471.63 : x
  2. Step 2: Convert to fraction form
    208,243.17/312,364.76 = 50,471.63/x
  3. Step 3: Cross multiply
    208,243.17x = 312,364.76 × 50,471.63
  4. Step 4: Simplify right side
    208,243.17x = 15,765,556,777.58
  5. Step 5: Solve for x
    x = 15,765,556,777.58/208,243.17
  6. Step 6: Final answer
    x = 75,707.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.