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Finding the Fourth Proportional to 286,769.33, 395,740.37 and 159,437.33

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Solution

The fourth proportional to 286,769.33, 395,740.37 and 159,437.33 is: 220,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,769.33 : 395,740.37 = 159,437.33 : x
  2. Step 2: Convert to fraction form
    286,769.33/395,740.37 = 159,437.33/x
  3. Step 3: Cross multiply
    286,769.33x = 395,740.37 × 159,437.33
  4. Step 4: Simplify right side
    286,769.33x = 63,095,785,190.12
  5. Step 5: Solve for x
    x = 63,095,785,190.12/286,769.33
  6. Step 6: Final answer
    x = 220,022.78

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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.