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Finding the Fourth Proportional to 279,880.80, 419,821.20 and 256,261.20

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Solution

The fourth proportional to 279,880.80, 419,821.20 and 256,261.20 is: 384,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,880.80 : 419,821.20 = 256,261.20 : x
  2. Step 2: Convert to fraction form
    279,880.80/419,821.20 = 256,261.20/x
  3. Step 3: Cross multiply
    279,880.80x = 419,821.20 × 256,261.20
  4. Step 4: Simplify right side
    279,880.80x = 107,583,884,497.44
  5. Step 5: Solve for x
    x = 107,583,884,497.44/279,880.80
  6. Step 6: Final answer
    x = 384,391.80

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1.5x scale

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.