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Finding the Fourth Proportional to 395,097.49, 545,234.51 and 213,809.41

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Solution

The fourth proportional to 395,097.49, 545,234.51 and 213,809.41 is: 295,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,097.49 : 545,234.51 = 213,809.41 : x
  2. Step 2: Convert to fraction form
    395,097.49/545,234.51 = 213,809.41/x
  3. Step 3: Cross multiply
    395,097.49x = 545,234.51 × 213,809.41
  4. Step 4: Simplify right side
    395,097.49x = 116,576,265,099.52
  5. Step 5: Solve for x
    x = 116,576,265,099.52/395,097.49
  6. Step 6: Final answer
    x = 295,056.97

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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.