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Finding the Fourth Proportional to 299,446.80, 448,133.40 and 274,563.60

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Solution

The fourth proportional to 299,446.80, 448,133.40 and 274,563.60 is: 410,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,446.80 : 448,133.40 = 274,563.60 : x
  2. Step 2: Convert to fraction form
    299,446.80/448,133.40 = 274,563.60/x
  3. Step 3: Cross multiply
    299,446.80x = 448,133.40 × 274,563.60
  4. Step 4: Simplify right side
    299,446.80x = 123,041,119,584.24
  5. Step 5: Solve for x
    x = 123,041,119,584.24/299,446.80
  6. Step 6: Final answer
    x = 410,894.76

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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.