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Finding the Fourth Proportional to 217,351.50, 299,843.01 and 153,724.38

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Solution

The fourth proportional to 217,351.50, 299,843.01 and 153,724.38 is: 212,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,351.50 : 299,843.01 = 153,724.38 : x
  2. Step 2: Convert to fraction form
    217,351.50/299,843.01 = 153,724.38/x
  3. Step 3: Cross multiply
    217,351.50x = 299,843.01 × 153,724.38
  4. Step 4: Simplify right side
    217,351.50x = 46,093,180,809.58
  5. Step 5: Solve for x
    x = 46,093,180,809.58/217,351.50
  6. Step 6: Final answer
    x = 212,067.46

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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.