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Finding the Fourth Proportional to 286,778.03, 430,284.49 and 126,769.28

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Solution

The fourth proportional to 286,778.03, 430,284.49 and 126,769.28 is: 190,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,778.03 : 430,284.49 = 126,769.28 : x
  2. Step 2: Convert to fraction form
    286,778.03/430,284.49 = 126,769.28/x
  3. Step 3: Cross multiply
    286,778.03x = 430,284.49 × 126,769.28
  4. Step 4: Simplify right side
    286,778.03x = 54,546,852,524.12
  5. Step 5: Solve for x
    x = 54,546,852,524.12/286,778.03
  6. Step 6: Final answer
    x = 190,205.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.