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Finding the Fourth Proportional to 272,102.40, 408,218.40 and 114,249.60

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Solution

The fourth proportional to 272,102.40, 408,218.40 and 114,249.60 is: 171,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,102.40 : 408,218.40 = 114,249.60 : x
  2. Step 2: Convert to fraction form
    272,102.40/408,218.40 = 114,249.60/x
  3. Step 3: Cross multiply
    272,102.40x = 408,218.40 × 114,249.60
  4. Step 4: Simplify right side
    272,102.40x = 46,638,788,912.64
  5. Step 5: Solve for x
    x = 46,638,788,912.64/272,102.40
  6. Step 6: Final answer
    x = 171,401.61

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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.