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Finding the Fourth Proportional to 205,738.44, 307,240.54 and 203,511.80

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Solution

The fourth proportional to 205,738.44, 307,240.54 and 203,511.80 is: 303,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,738.44 : 307,240.54 = 203,511.80 : x
  2. Step 2: Convert to fraction form
    205,738.44/307,240.54 = 203,511.80/x
  3. Step 3: Cross multiply
    205,738.44x = 307,240.54 × 203,511.80
  4. Step 4: Simplify right side
    205,738.44x = 62,527,075,328.37
  5. Step 5: Solve for x
    x = 62,527,075,328.37/205,738.44
  6. Step 6: Final answer
    x = 303,915.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.