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Finding the Fourth Proportional to 307,843.20, 462,056.40 and 189,745.20

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Solution

The fourth proportional to 307,843.20, 462,056.40 and 189,745.20 is: 284,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,843.20 : 462,056.40 = 189,745.20 : x
  2. Step 2: Convert to fraction form
    307,843.20/462,056.40 = 189,745.20/x
  3. Step 3: Cross multiply
    307,843.20x = 462,056.40 × 189,745.20
  4. Step 4: Simplify right side
    307,843.20x = 87,672,984,029.28
  5. Step 5: Solve for x
    x = 87,672,984,029.28/307,843.20
  6. Step 6: Final answer
    x = 284,797.53

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1.5x scale

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.