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Finding the Fourth Proportional to 370,995.75, 511,974.18 and 209,847.33

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Solution

The fourth proportional to 370,995.75, 511,974.18 and 209,847.33 is: 289,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,995.75 : 511,974.18 = 209,847.33 : x
  2. Step 2: Convert to fraction form
    370,995.75/511,974.18 = 209,847.33/x
  3. Step 3: Cross multiply
    370,995.75x = 511,974.18 × 209,847.33
  4. Step 4: Simplify right side
    370,995.75x = 107,436,414,701.94
  5. Step 5: Solve for x
    x = 107,436,414,701.94/370,995.75
  6. Step 6: Final answer
    x = 289,589.34

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1.5x scale

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.