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Finding the Fourth Proportional to 378,339.45, 566,107.35 and 303,231.80

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Solution

The fourth proportional to 378,339.45, 566,107.35 and 303,231.80 is: 453,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,339.45 : 566,107.35 = 303,231.80 : x
  2. Step 2: Convert to fraction form
    378,339.45/566,107.35 = 303,231.80/x
  3. Step 3: Cross multiply
    378,339.45x = 566,107.35 × 303,231.80
  4. Step 4: Simplify right side
    378,339.45x = 171,661,747,903.19
  5. Step 5: Solve for x
    x = 171,661,747,903.19/378,339.45
  6. Step 6: Final answer
    x = 453,724.16

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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.