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Finding the Fourth Proportional to 493,365, 680,846.49 and 275,582.84

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Solution

The fourth proportional to 493,365, 680,846.49 and 275,582.84 is: 380,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,365 : 680,846.49 = 275,582.84 : x
  2. Step 2: Convert to fraction form
    493,365/680,846.49 = 275,582.84/x
  3. Step 3: Cross multiply
    493,365x = 680,846.49 × 275,582.84
  4. Step 4: Simplify right side
    493,365x = 187,629,605,914.00
  5. Step 5: Solve for x
    x = 187,629,605,914.00/493,365
  6. Step 6: Final answer
    x = 380,305.87

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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.