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Finding the Fourth Proportional to 420,880, 580,810.96 and 229,893.44

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Solution

The fourth proportional to 420,880, 580,810.96 and 229,893.44 is: 317,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,880 : 580,810.96 = 229,893.44 : x
  2. Step 2: Convert to fraction form
    420,880/580,810.96 = 229,893.44/x
  3. Step 3: Cross multiply
    420,880x = 580,810.96 × 229,893.44
  4. Step 4: Simplify right side
    420,880x = 133,524,629,584.10
  5. Step 5: Solve for x
    x = 133,524,629,584.10/420,880
  6. Step 6: Final answer
    x = 317,251.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.