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Finding the Fourth Proportional to 260,860, 359,988.24 and 141,628

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Solution

The fourth proportional to 260,860, 359,988.24 and 141,628 is: 195,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,860 : 359,988.24 = 141,628 : x
  2. Step 2: Convert to fraction form
    260,860/359,988.24 = 141,628/x
  3. Step 3: Cross multiply
    260,860x = 359,988.24 × 141,628
  4. Step 4: Simplify right side
    260,860x = 50,984,414,454.72
  5. Step 5: Solve for x
    x = 50,984,414,454.72/260,860
  6. Step 6: Final answer
    x = 195,447.42

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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.