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Finding the Fourth Proportional to 299,053.40, 448,824.90 and 296,720.60

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Solution

The fourth proportional to 299,053.40, 448,824.90 and 296,720.60 is: 445,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053.40 : 448,824.90 = 296,720.60 : x
  2. Step 2: Convert to fraction form
    299,053.40/448,824.90 = 296,720.60/x
  3. Step 3: Cross multiply
    299,053.40x = 448,824.90 × 296,720.60
  4. Step 4: Simplify right side
    299,053.40x = 133,175,593,622.94
  5. Step 5: Solve for x
    x = 133,175,593,622.94/299,053.40
  6. Step 6: Final answer
    x = 445,323.79

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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.