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Finding the Fourth Proportional to 260,306.69, 359,222.19 and 145,584.87

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Solution

The fourth proportional to 260,306.69, 359,222.19 and 145,584.87 is: 200,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,306.69 : 359,222.19 = 145,584.87 : x
  2. Step 2: Convert to fraction form
    260,306.69/359,222.19 = 145,584.87/x
  3. Step 3: Cross multiply
    260,306.69x = 359,222.19 × 145,584.87
  4. Step 4: Simplify right side
    260,306.69x = 52,297,315,768.47
  5. Step 5: Solve for x
    x = 52,297,315,768.47/260,306.69
  6. Step 6: Final answer
    x = 200,906.54

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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.