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Finding the Fourth Proportional to 300,568.36, 450,683.64 and 205,905.28

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Solution

The fourth proportional to 300,568.36, 450,683.64 and 205,905.28 is: 308,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,568.36 : 450,683.64 = 205,905.28 : x
  2. Step 2: Convert to fraction form
    300,568.36/450,683.64 = 205,905.28/x
  3. Step 3: Cross multiply
    300,568.36x = 450,683.64 × 205,905.28
  4. Step 4: Simplify right side
    300,568.36x = 92,798,141,085.62
  5. Step 5: Solve for x
    x = 92,798,141,085.62/300,568.36
  6. Step 6: Final answer
    x = 308,742.21

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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.