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Finding the Fourth Proportional to 299,974.88, 447,316.48 and 297,274.56

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Solution

The fourth proportional to 299,974.88, 447,316.48 and 297,274.56 is: 443,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,974.88 : 447,316.48 = 297,274.56 : x
  2. Step 2: Convert to fraction form
    299,974.88/447,316.48 = 297,274.56/x
  3. Step 3: Cross multiply
    299,974.88x = 447,316.48 × 297,274.56
  4. Step 4: Simplify right side
    299,974.88x = 132,975,809,772.75
  5. Step 5: Solve for x
    x = 132,975,809,772.75/299,974.88
  6. Step 6: Final answer
    x = 443,289.82

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Why These Related Problems?

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