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Finding the Fourth Proportional to 269,284.40, 403,936.85 and 100,786.98

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Solution

The fourth proportional to 269,284.40, 403,936.85 and 100,786.98 is: 151,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,284.40 : 403,936.85 = 100,786.98 : x
  2. Step 2: Convert to fraction form
    269,284.40/403,936.85 = 100,786.98/x
  3. Step 3: Cross multiply
    269,284.40x = 403,936.85 × 100,786.98
  4. Step 4: Simplify right side
    269,284.40x = 40,711,576,705.48
  5. Step 5: Solve for x
    x = 40,711,576,705.48/269,284.40
  6. Step 6: Final answer
    x = 151,184.31

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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.