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Finding the Fourth Proportional to 311,848.20, 468,204.30 and 200,219.40

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Solution

The fourth proportional to 311,848.20, 468,204.30 and 200,219.40 is: 300,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,848.20 : 468,204.30 = 200,219.40 : x
  2. Step 2: Convert to fraction form
    311,848.20/468,204.30 = 200,219.40/x
  3. Step 3: Cross multiply
    311,848.20x = 468,204.30 × 200,219.40
  4. Step 4: Simplify right side
    311,848.20x = 93,743,584,023.42
  5. Step 5: Solve for x
    x = 93,743,584,023.42/311,848.20
  6. Step 6: Final answer
    x = 300,606.46

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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.