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Finding the Fourth Proportional to 260,063.36, 389,880 and 119,703.68

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Solution

The fourth proportional to 260,063.36, 389,880 and 119,703.68 is: 179,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,063.36 : 389,880 = 119,703.68 : x
  2. Step 2: Convert to fraction form
    260,063.36/389,880 = 119,703.68/x
  3. Step 3: Cross multiply
    260,063.36x = 389,880 × 119,703.68
  4. Step 4: Simplify right side
    260,063.36x = 46,670,070,758.40
  5. Step 5: Solve for x
    x = 46,670,070,758.40/260,063.36
  6. Step 6: Final answer
    x = 179,456.54

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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.