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Finding the Fourth Proportional to 305,079.64, 420,543.24 and 214,180.60

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Solution

The fourth proportional to 305,079.64, 420,543.24 and 214,180.60 is: 295,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,079.64 : 420,543.24 = 214,180.60 : x
  2. Step 2: Convert to fraction form
    305,079.64/420,543.24 = 214,180.60/x
  3. Step 3: Cross multiply
    305,079.64x = 420,543.24 × 214,180.60
  4. Step 4: Simplify right side
    305,079.64x = 90,072,203,469.14
  5. Step 5: Solve for x
    x = 90,072,203,469.14/305,079.64
  6. Step 6: Final answer
    x = 295,241.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.