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Finding the Fourth Proportional to 260,137.60, 389,342.40 and 188,857.60

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Solution

The fourth proportional to 260,137.60, 389,342.40 and 188,857.60 is: 282,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,137.60 : 389,342.40 = 188,857.60 : x
  2. Step 2: Convert to fraction form
    260,137.60/389,342.40 = 188,857.60/x
  3. Step 3: Cross multiply
    260,137.60x = 389,342.40 × 188,857.60
  4. Step 4: Simplify right side
    260,137.60x = 73,530,271,242.24
  5. Step 5: Solve for x
    x = 73,530,271,242.24/260,137.60
  6. Step 6: Final answer
    x = 282,659.14

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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.