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Finding the Fourth Proportional to 511,271.80, 766,032.90 and 324,064.60

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Solution

The fourth proportional to 511,271.80, 766,032.90 and 324,064.60 is: 485,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,271.80 : 766,032.90 = 324,064.60 : x
  2. Step 2: Convert to fraction form
    511,271.80/766,032.90 = 324,064.60/x
  3. Step 3: Cross multiply
    511,271.80x = 766,032.90 × 324,064.60
  4. Step 4: Simplify right side
    511,271.80x = 248,244,145,325.34
  5. Step 5: Solve for x
    x = 248,244,145,325.34/511,271.80
  6. Step 6: Final answer
    x = 485,542.42

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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.