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Finding the Fourth Proportional to 300,152.40, 449,466.56 and 180,133.80

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Solution

The fourth proportional to 300,152.40, 449,466.56 and 180,133.80 is: 269,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,152.40 : 449,466.56 = 180,133.80 : x
  2. Step 2: Convert to fraction form
    300,152.40/449,466.56 = 180,133.80/x
  3. Step 3: Cross multiply
    300,152.40x = 449,466.56 × 180,133.80
  4. Step 4: Simplify right side
    300,152.40x = 80,964,119,425.73
  5. Step 5: Solve for x
    x = 80,964,119,425.73/300,152.40
  6. Step 6: Final answer
    x = 269,743.37

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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.