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Finding the Fourth Proportional to 286,942.88, 395,982.48 and 159,620

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Solution

The fourth proportional to 286,942.88, 395,982.48 and 159,620 is: 220,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,942.88 : 395,982.48 = 159,620 : x
  2. Step 2: Convert to fraction form
    286,942.88/395,982.48 = 159,620/x
  3. Step 3: Cross multiply
    286,942.88x = 395,982.48 × 159,620
  4. Step 4: Simplify right side
    286,942.88x = 63,206,723,457.60
  5. Step 5: Solve for x
    x = 63,206,723,457.60/286,942.88
  6. Step 6: Final answer
    x = 220,276.33

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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.