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Finding the Fourth Proportional to 470,375.06, 649,040.63 and 276,945.77

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Solution

The fourth proportional to 470,375.06, 649,040.63 and 276,945.77 is: 382,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,375.06 : 649,040.63 = 276,945.77 : x
  2. Step 2: Convert to fraction form
    470,375.06/649,040.63 = 276,945.77/x
  3. Step 3: Cross multiply
    470,375.06x = 649,040.63 × 276,945.77
  4. Step 4: Simplify right side
    470,375.06x = 179,749,052,406.70
  5. Step 5: Solve for x
    x = 179,749,052,406.70/470,375.06
  6. Step 6: Final answer
    x = 382,139.85

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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.