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Finding the Fourth Proportional to 311,902.60, 467,853.90 and 279,243.40

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Solution

The fourth proportional to 311,902.60, 467,853.90 and 279,243.40 is: 418,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902.60 : 467,853.90 = 279,243.40 : x
  2. Step 2: Convert to fraction form
    311,902.60/467,853.90 = 279,243.40/x
  3. Step 3: Cross multiply
    311,902.60x = 467,853.90 × 279,243.40
  4. Step 4: Simplify right side
    311,902.60x = 130,645,113,739.26
  5. Step 5: Solve for x
    x = 130,645,113,739.26/311,902.60
  6. Step 6: Final answer
    x = 418,865.10

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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.