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Finding the Fourth Proportional to 260,800, 359,911.68 and 141,575.68

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Solution

The fourth proportional to 260,800, 359,911.68 and 141,575.68 is: 195,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,800 : 359,911.68 = 141,575.68 : x
  2. Step 2: Convert to fraction form
    260,800/359,911.68 = 141,575.68/x
  3. Step 3: Cross multiply
    260,800x = 359,911.68 × 141,575.68
  4. Step 4: Simplify right side
    260,800x = 50,954,740,835.94
  5. Step 5: Solve for x
    x = 50,954,740,835.94/260,800
  6. Step 6: Final answer
    x = 195,378.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.