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Finding the Fourth Proportional to 260,321.60, 389,618.40 and 189,041.60

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Solution

The fourth proportional to 260,321.60, 389,618.40 and 189,041.60 is: 282,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,321.60 : 389,618.40 = 189,041.60 : x
  2. Step 2: Convert to fraction form
    260,321.60/389,618.40 = 189,041.60/x
  3. Step 3: Cross multiply
    260,321.60x = 389,618.40 × 189,041.60
  4. Step 4: Simplify right side
    260,321.60x = 73,654,085,725.44
  5. Step 5: Solve for x
    x = 73,654,085,725.44/260,321.60
  6. Step 6: Final answer
    x = 282,934.98

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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.