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Finding the Fourth Proportional to 269,875.11, 404,742 and 80,284.44

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Solution

The fourth proportional to 269,875.11, 404,742 and 80,284.44 is: 120,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,875.11 : 404,742 = 80,284.44 : x
  2. Step 2: Convert to fraction form
    269,875.11/404,742 = 80,284.44/x
  3. Step 3: Cross multiply
    269,875.11x = 404,742 × 80,284.44
  4. Step 4: Simplify right side
    269,875.11x = 32,494,484,814.48
  5. Step 5: Solve for x
    x = 32,494,484,814.48/269,875.11
  6. Step 6: Final answer
    x = 120,405.64

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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.