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Finding the Fourth Proportional to 311,739.78, 467,940.24 and 253,281.18

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Solution

The fourth proportional to 311,739.78, 467,940.24 and 253,281.18 is: 380,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,739.78 : 467,940.24 = 253,281.18 : x
  2. Step 2: Convert to fraction form
    311,739.78/467,940.24 = 253,281.18/x
  3. Step 3: Cross multiply
    311,739.78x = 467,940.24 × 253,281.18
  4. Step 4: Simplify right side
    311,739.78x = 118,520,456,156.68
  5. Step 5: Solve for x
    x = 118,520,456,156.68/311,739.78
  6. Step 6: Final answer
    x = 380,190.35

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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.