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Finding the Fourth Proportional to 458,249.83, 687,435.12 and 170,022.26

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Solution

The fourth proportional to 458,249.83, 687,435.12 and 170,022.26 is: 255,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,249.83 : 687,435.12 = 170,022.26 : x
  2. Step 2: Convert to fraction form
    458,249.83/687,435.12 = 170,022.26/x
  3. Step 3: Cross multiply
    458,249.83x = 687,435.12 × 170,022.26
  4. Step 4: Simplify right side
    458,249.83x = 116,879,268,418.48
  5. Step 5: Solve for x
    x = 116,879,268,418.48/458,249.83
  6. Step 6: Final answer
    x = 255,055.78

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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.