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Finding the Fourth Proportional to 511,800.93, 766,782.05 and 301,324.05

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Solution

The fourth proportional to 511,800.93, 766,782.05 and 301,324.05 is: 451,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800.93 : 766,782.05 = 301,324.05 : x
  2. Step 2: Convert to fraction form
    511,800.93/766,782.05 = 301,324.05/x
  3. Step 3: Cross multiply
    511,800.93x = 766,782.05 × 301,324.05
  4. Step 4: Simplify right side
    511,800.93x = 231,049,871,266.68
  5. Step 5: Solve for x
    x = 231,049,871,266.68/511,800.93
  6. Step 6: Final answer
    x = 451,444.81

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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.