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Finding the Fourth Proportional to 217,825.80, 326,738.70 and 137,927.40

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Solution

The fourth proportional to 217,825.80, 326,738.70 and 137,927.40 is: 206,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,825.80 : 326,738.70 = 137,927.40 : x
  2. Step 2: Convert to fraction form
    217,825.80/326,738.70 = 137,927.40/x
  3. Step 3: Cross multiply
    217,825.80x = 326,738.70 × 137,927.40
  4. Step 4: Simplify right side
    217,825.80x = 45,066,219,370.38
  5. Step 5: Solve for x
    x = 45,066,219,370.38/217,825.80
  6. Step 6: Final answer
    x = 206,891.10

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1.5x scale

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.