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Finding the Fourth Proportional to 412,673.56, 618,984.86 and 146,399

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Solution

The fourth proportional to 412,673.56, 618,984.86 and 146,399 is: 219,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,673.56 : 618,984.86 = 146,399 : x
  2. Step 2: Convert to fraction form
    412,673.56/618,984.86 = 146,399/x
  3. Step 3: Cross multiply
    412,673.56x = 618,984.86 × 146,399
  4. Step 4: Simplify right side
    412,673.56x = 90,618,764,519.14
  5. Step 5: Solve for x
    x = 90,618,764,519.14/412,673.56
  6. Step 6: Final answer
    x = 219,589.46

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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.