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Finding the Fourth Proportional to 323,866.80, 485,800.20 and 311,425.20

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Solution

The fourth proportional to 323,866.80, 485,800.20 and 311,425.20 is: 467,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,866.80 : 485,800.20 = 311,425.20 : x
  2. Step 2: Convert to fraction form
    323,866.80/485,800.20 = 311,425.20/x
  3. Step 3: Cross multiply
    323,866.80x = 485,800.20 × 311,425.20
  4. Step 4: Simplify right side
    323,866.80x = 151,290,424,445.04
  5. Step 5: Solve for x
    x = 151,290,424,445.04/323,866.80
  6. Step 6: Final answer
    x = 467,137.80

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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.