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Finding the Fourth Proportional to 511,293.70, 767,029.65 and 211,609.90

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Solution

The fourth proportional to 511,293.70, 767,029.65 and 211,609.90 is: 317,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,293.70 : 767,029.65 = 211,609.90 : x
  2. Step 2: Convert to fraction form
    511,293.70/767,029.65 = 211,609.90/x
  3. Step 3: Cross multiply
    511,293.70x = 767,029.65 × 211,609.90
  4. Step 4: Simplify right side
    511,293.70x = 162,311,067,533.54
  5. Step 5: Solve for x
    x = 162,311,067,533.54/511,293.70
  6. Step 6: Final answer
    x = 317,451.73

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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.