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Finding the Fourth Proportional to 260,057.60, 389,222.40 and 188,777.60

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Solution

The fourth proportional to 260,057.60, 389,222.40 and 188,777.60 is: 282,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,057.60 : 389,222.40 = 188,777.60 : x
  2. Step 2: Convert to fraction form
    260,057.60/389,222.40 = 188,777.60/x
  3. Step 3: Cross multiply
    260,057.60x = 389,222.40 × 188,777.60
  4. Step 4: Simplify right side
    260,057.60x = 73,476,470,538.24
  5. Step 5: Solve for x
    x = 73,476,470,538.24/260,057.60
  6. Step 6: Final answer
    x = 282,539.22

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1.5x scale

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.