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Finding the Fourth Proportional to 511,012.08, 766,610.46 and 211,329.90

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Solution

The fourth proportional to 511,012.08, 766,610.46 and 211,329.90 is: 317,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012.08 : 766,610.46 = 211,329.90 : x
  2. Step 2: Convert to fraction form
    511,012.08/766,610.46 = 211,329.90/x
  3. Step 3: Cross multiply
    511,012.08x = 766,610.46 × 211,329.90
  4. Step 4: Simplify right side
    511,012.08x = 162,007,711,850.75
  5. Step 5: Solve for x
    x = 162,007,711,850.75/511,012.08
  6. Step 6: Final answer
    x = 317,033.04

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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.