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Finding the Fourth Proportional to 279,935.20, 419,902.80 and 255,440.80

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Solution

The fourth proportional to 279,935.20, 419,902.80 and 255,440.80 is: 383,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,935.20 : 419,902.80 = 255,440.80 : x
  2. Step 2: Convert to fraction form
    279,935.20/419,902.80 = 255,440.80/x
  3. Step 3: Cross multiply
    279,935.20x = 419,902.80 × 255,440.80
  4. Step 4: Simplify right side
    279,935.20x = 107,260,307,154.24
  5. Step 5: Solve for x
    x = 107,260,307,154.24/279,935.20
  6. Step 6: Final answer
    x = 383,161.20

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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.