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Finding the Fourth Proportional to 269,828, 404,761.98 and 103,616

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Solution

The fourth proportional to 269,828, 404,761.98 and 103,616 is: 155,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,828 : 404,761.98 = 103,616 : x
  2. Step 2: Convert to fraction form
    269,828/404,761.98 = 103,616/x
  3. Step 3: Cross multiply
    269,828x = 404,761.98 × 103,616
  4. Step 4: Simplify right side
    269,828x = 41,939,817,319.68
  5. Step 5: Solve for x
    x = 41,939,817,319.68/269,828
  6. Step 6: Final answer
    x = 155,431.67

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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.