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Finding the Fourth Proportional to 208,245.44, 312,365.28 and 50,475.20

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Solution

The fourth proportional to 208,245.44, 312,365.28 and 50,475.20 is: 75,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.44 : 312,365.28 = 50,475.20 : x
  2. Step 2: Convert to fraction form
    208,245.44/312,365.28 = 50,475.20/x
  3. Step 3: Cross multiply
    208,245.44x = 312,365.28 × 50,475.20
  4. Step 4: Simplify right side
    208,245.44x = 15,766,699,981.06
  5. Step 5: Solve for x
    x = 15,766,699,981.06/208,245.44
  6. Step 6: Final answer
    x = 75,712.10

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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.