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Finding the Fourth Proportional to 401,067.60, 601,601.40 and 398,734.80

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Solution

The fourth proportional to 401,067.60, 601,601.40 and 398,734.80 is: 598,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,067.60 : 601,601.40 = 398,734.80 : x
  2. Step 2: Convert to fraction form
    401,067.60/601,601.40 = 398,734.80/x
  3. Step 3: Cross multiply
    401,067.60x = 601,601.40 × 398,734.80
  4. Step 4: Simplify right side
    401,067.60x = 239,879,413,908.72
  5. Step 5: Solve for x
    x = 239,879,413,908.72/401,067.60
  6. Step 6: Final answer
    x = 598,102.20

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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.