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Finding the Fourth Proportional to 258,009, 386,914.08 and 100,216.68

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Solution

The fourth proportional to 258,009, 386,914.08 and 100,216.68 is: 150,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,009 : 386,914.08 = 100,216.68 : x
  2. Step 2: Convert to fraction form
    258,009/386,914.08 = 100,216.68/x
  3. Step 3: Cross multiply
    258,009x = 386,914.08 × 100,216.68
  4. Step 4: Simplify right side
    258,009x = 38,775,244,542.85
  5. Step 5: Solve for x
    x = 38,775,244,542.85/258,009
  6. Step 6: Final answer
    x = 150,286.40

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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.