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Finding the Fourth Proportional to 465,632.24, 642,649.80 and 274,692.56

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Solution

The fourth proportional to 465,632.24, 642,649.80 and 274,692.56 is: 379,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,632.24 : 642,649.80 = 274,692.56 : x
  2. Step 2: Convert to fraction form
    465,632.24/642,649.80 = 274,692.56/x
  3. Step 3: Cross multiply
    465,632.24x = 642,649.80 × 274,692.56
  4. Step 4: Simplify right side
    465,632.24x = 176,531,118,745.49
  5. Step 5: Solve for x
    x = 176,531,118,745.49/465,632.24
  6. Step 6: Final answer
    x = 379,121.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.