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Finding the Fourth Proportional to 321,176.39, 443,431.40 and 206,506.53

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Solution

The fourth proportional to 321,176.39, 443,431.40 and 206,506.53 is: 285,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,176.39 : 443,431.40 = 206,506.53 : x
  2. Step 2: Convert to fraction form
    321,176.39/443,431.40 = 206,506.53/x
  3. Step 3: Cross multiply
    321,176.39x = 443,431.40 × 206,506.53
  4. Step 4: Simplify right side
    321,176.39x = 91,571,478,674.51
  5. Step 5: Solve for x
    x = 91,571,478,674.51/321,176.39
  6. Step 6: Final answer
    x = 285,112.74

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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.