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Finding the Fourth Proportional to 395,473.59, 545,750.84 and 214,181.38

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Solution

The fourth proportional to 395,473.59, 545,750.84 and 214,181.38 is: 295,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,473.59 : 545,750.84 = 214,181.38 : x
  2. Step 2: Convert to fraction form
    395,473.59/545,750.84 = 214,181.38/x
  3. Step 3: Cross multiply
    395,473.59x = 545,750.84 × 214,181.38
  4. Step 4: Simplify right side
    395,473.59x = 116,889,664,247.70
  5. Step 5: Solve for x
    x = 116,889,664,247.70/395,473.59
  6. Step 6: Final answer
    x = 295,568.83

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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.