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Finding the Fourth Proportional to 338,908.12, 467,693.64 and 188,005.12

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Solution

The fourth proportional to 338,908.12, 467,693.64 and 188,005.12 is: 259,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,908.12 : 467,693.64 = 188,005.12 : x
  2. Step 2: Convert to fraction form
    338,908.12/467,693.64 = 188,005.12/x
  3. Step 3: Cross multiply
    338,908.12x = 467,693.64 × 188,005.12
  4. Step 4: Simplify right side
    338,908.12x = 87,928,798,911.44
  5. Step 5: Solve for x
    x = 87,928,798,911.44/338,908.12
  6. Step 6: Final answer
    x = 259,447.31

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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.