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Finding the Fourth Proportional to 470,481.66, 649,277.91 and 276,903

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Solution

The fourth proportional to 470,481.66, 649,277.91 and 276,903 is: 382,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,481.66 : 649,277.91 = 276,903 : x
  2. Step 2: Convert to fraction form
    470,481.66/649,277.91 = 276,903/x
  3. Step 3: Cross multiply
    470,481.66x = 649,277.91 × 276,903
  4. Step 4: Simplify right side
    470,481.66x = 179,787,001,112.73
  5. Step 5: Solve for x
    x = 179,787,001,112.73/470,481.66
  6. Step 6: Final answer
    x = 382,133.92

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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.