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Finding the Fourth Proportional to 300,204.29, 450,361.01 and 142,431.28

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Solution

The fourth proportional to 300,204.29, 450,361.01 and 142,431.28 is: 213,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,204.29 : 450,361.01 = 142,431.28 : x
  2. Step 2: Convert to fraction form
    300,204.29/450,361.01 = 142,431.28/x
  3. Step 3: Cross multiply
    300,204.29x = 450,361.01 × 142,431.28
  4. Step 4: Simplify right side
    300,204.29x = 64,145,494,346.57
  5. Step 5: Solve for x
    x = 64,145,494,346.57/300,204.29
  6. Step 6: Final answer
    x = 213,672.81

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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.