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Finding the Fourth Proportional to 321,291.78, 443,431.51 and 205,055.40

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Solution

The fourth proportional to 321,291.78, 443,431.51 and 205,055.40 is: 283,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,291.78 : 443,431.51 = 205,055.40 : x
  2. Step 2: Convert to fraction form
    321,291.78/443,431.51 = 205,055.40/x
  3. Step 3: Cross multiply
    321,291.78x = 443,431.51 × 205,055.40
  4. Step 4: Simplify right side
    321,291.78x = 90,928,025,655.65
  5. Step 5: Solve for x
    x = 90,928,025,655.65/321,291.78
  6. Step 6: Final answer
    x = 283,007.63

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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.