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Finding the Fourth Proportional to 311,975.84, 468,015.53 and 109,519.47

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Solution

The fourth proportional to 311,975.84, 468,015.53 and 109,519.47 is: 164,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,975.84 : 468,015.53 = 109,519.47 : x
  2. Step 2: Convert to fraction form
    311,975.84/468,015.53 = 109,519.47/x
  3. Step 3: Cross multiply
    311,975.84x = 468,015.53 × 109,519.47
  4. Step 4: Simplify right side
    311,975.84x = 51,256,812,249.77
  5. Step 5: Solve for x
    x = 51,256,812,249.77/311,975.84
  6. Step 6: Final answer
    x = 164,297.38

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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.