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Finding the Fourth Proportional to 299,039.40, 448,559.10 and 287,229.60

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Solution

The fourth proportional to 299,039.40, 448,559.10 and 287,229.60 is: 430,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,039.40 : 448,559.10 = 287,229.60 : x
  2. Step 2: Convert to fraction form
    299,039.40/448,559.10 = 287,229.60/x
  3. Step 3: Cross multiply
    299,039.40x = 448,559.10 × 287,229.60
  4. Step 4: Simplify right side
    299,039.40x = 128,839,450,869.36
  5. Step 5: Solve for x
    x = 128,839,450,869.36/299,039.40
  6. Step 6: Final answer
    x = 430,844.40

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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.