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Finding the Fourth Proportional to 345,879.54, 477,307.89 and 194,976.18

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Solution

The fourth proportional to 345,879.54, 477,307.89 and 194,976.18 is: 269,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,879.54 : 477,307.89 = 194,976.18 : x
  2. Step 2: Convert to fraction form
    345,879.54/477,307.89 = 194,976.18/x
  3. Step 3: Cross multiply
    345,879.54x = 477,307.89 × 194,976.18
  4. Step 4: Simplify right side
    345,879.54x = 93,063,669,076.06
  5. Step 5: Solve for x
    x = 93,063,669,076.06/345,879.54
  6. Step 6: Final answer
    x = 269,063.82

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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.