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Finding the Fourth Proportional to 401,198.40, 601,651.80 and 134,967.60

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Solution

The fourth proportional to 401,198.40, 601,651.80 and 134,967.60 is: 202,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,198.40 : 601,651.80 = 134,967.60 : x
  2. Step 2: Convert to fraction form
    401,198.40/601,651.80 = 134,967.60/x
  3. Step 3: Cross multiply
    401,198.40x = 601,651.80 × 134,967.60
  4. Step 4: Simplify right side
    401,198.40x = 81,203,499,481.68
  5. Step 5: Solve for x
    x = 81,203,499,481.68/401,198.40
  6. Step 6: Final answer
    x = 202,402.35

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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.