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Finding the Fourth Proportional to 321,057.81, 443,012.49 and 185,081.09

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Solution

The fourth proportional to 321,057.81, 443,012.49 and 185,081.09 is: 255,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,057.81 : 443,012.49 = 185,081.09 : x
  2. Step 2: Convert to fraction form
    321,057.81/443,012.49 = 185,081.09/x
  3. Step 3: Cross multiply
    321,057.81x = 443,012.49 × 185,081.09
  4. Step 4: Simplify right side
    321,057.81x = 81,993,232,317.75
  5. Step 5: Solve for x
    x = 81,993,232,317.75/321,057.81
  6. Step 6: Final answer
    x = 255,384.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.