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Finding the Fourth Proportional to 511,536.80, 766,268.40 and 289,661.60

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Solution

The fourth proportional to 511,536.80, 766,268.40 and 289,661.60 is: 433,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,536.80 : 766,268.40 = 289,661.60 : x
  2. Step 2: Convert to fraction form
    511,536.80/766,268.40 = 289,661.60/x
  3. Step 3: Cross multiply
    511,536.80x = 766,268.40 × 289,661.60
  4. Step 4: Simplify right side
    511,536.80x = 221,958,530,773.44
  5. Step 5: Solve for x
    x = 221,958,530,773.44/511,536.80
  6. Step 6: Final answer
    x = 433,905.30

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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.