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Finding the Fourth Proportional to 459,745.25, 689,610.94 and 206,847.14

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Solution

The fourth proportional to 459,745.25, 689,610.94 and 206,847.14 is: 310,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,745.25 : 689,610.94 = 206,847.14 : x
  2. Step 2: Convert to fraction form
    459,745.25/689,610.94 = 206,847.14/x
  3. Step 3: Cross multiply
    459,745.25x = 689,610.94 × 206,847.14
  4. Step 4: Simplify right side
    459,745.25x = 142,644,046,686.54
  5. Step 5: Solve for x
    x = 142,644,046,686.54/459,745.25
  6. Step 6: Final answer
    x = 310,267.58

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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.