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Finding the Fourth Proportional to 310,205.33, 428,074.01 and 172,383.79

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Solution

The fourth proportional to 310,205.33, 428,074.01 and 172,383.79 is: 237,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,205.33 : 428,074.01 = 172,383.79 : x
  2. Step 2: Convert to fraction form
    310,205.33/428,074.01 = 172,383.79/x
  3. Step 3: Cross multiply
    310,205.33x = 428,074.01 × 172,383.79
  4. Step 4: Simplify right side
    310,205.33x = 73,793,021,745.44
  5. Step 5: Solve for x
    x = 73,793,021,745.44/310,205.33
  6. Step 6: Final answer
    x = 237,884.44

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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.