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Finding the Fourth Proportional to 299,438.80, 448,121.40 and 274,555.60

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Solution

The fourth proportional to 299,438.80, 448,121.40 and 274,555.60 is: 410,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,438.80 : 448,121.40 = 274,555.60 : x
  2. Step 2: Convert to fraction form
    299,438.80/448,121.40 = 274,555.60/x
  3. Step 3: Cross multiply
    299,438.80x = 448,121.40 × 274,555.60
  4. Step 4: Simplify right side
    299,438.80x = 123,034,239,849.84
  5. Step 5: Solve for x
    x = 123,034,239,849.84/299,438.80
  6. Step 6: Final answer
    x = 410,882.76

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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.