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Finding the Fourth Proportional to 378,576, 567,960 and 141,919.36

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Solution

The fourth proportional to 378,576, 567,960 and 141,919.36 is: 212,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576 : 567,960 = 141,919.36 : x
  2. Step 2: Convert to fraction form
    378,576/567,960 = 141,919.36/x
  3. Step 3: Cross multiply
    378,576x = 567,960 × 141,919.36
  4. Step 4: Simplify right side
    378,576x = 80,604,519,705.60
  5. Step 5: Solve for x
    x = 80,604,519,705.60/378,576
  6. Step 6: Final answer
    x = 212,915.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.