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Finding the Fourth Proportional to 217,335, 326,032.92 and 205,383

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Solution

The fourth proportional to 217,335, 326,032.92 and 205,383 is: 308,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,335 : 326,032.92 = 205,383 : x
  2. Step 2: Convert to fraction form
    217,335/326,032.92 = 205,383/x
  3. Step 3: Cross multiply
    217,335x = 326,032.92 × 205,383
  4. Step 4: Simplify right side
    217,335x = 66,961,619,208.36
  5. Step 5: Solve for x
    x = 66,961,619,208.36/217,335
  6. Step 6: Final answer
    x = 308,103.25

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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.