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Finding the Fourth Proportional to 420,464.94, 580,039.81 and 275,206.83

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Solution

The fourth proportional to 420,464.94, 580,039.81 and 275,206.83 is: 379,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,464.94 : 580,039.81 = 275,206.83 : x
  2. Step 2: Convert to fraction form
    420,464.94/580,039.81 = 275,206.83/x
  3. Step 3: Cross multiply
    420,464.94x = 580,039.81 × 275,206.83
  4. Step 4: Simplify right side
    420,464.94x = 159,630,917,383.90
  5. Step 5: Solve for x
    x = 159,630,917,383.90/420,464.94
  6. Step 6: Final answer
    x = 379,653.34

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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.