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Finding the Fourth Proportional to 551,101.20, 825,864.60 and 313,942.80

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Solution

The fourth proportional to 551,101.20, 825,864.60 and 313,942.80 is: 470,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,101.20 : 825,864.60 = 313,942.80 : x
  2. Step 2: Convert to fraction form
    551,101.20/825,864.60 = 313,942.80/x
  3. Step 3: Cross multiply
    551,101.20x = 825,864.60 × 313,942.80
  4. Step 4: Simplify right side
    551,101.20x = 259,274,244,944.88
  5. Step 5: Solve for x
    x = 259,274,244,944.88/551,101.20
  6. Step 6: Final answer
    x = 470,465.76

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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.