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Finding the Fourth Proportional to 275,810.94, 414,339.22 and 163,564.78

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Solution

The fourth proportional to 275,810.94, 414,339.22 and 163,564.78 is: 245,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,810.94 : 414,339.22 = 163,564.78 : x
  2. Step 2: Convert to fraction form
    275,810.94/414,339.22 = 163,564.78/x
  3. Step 3: Cross multiply
    275,810.94x = 414,339.22 × 163,564.78
  4. Step 4: Simplify right side
    275,810.94x = 67,771,302,546.85
  5. Step 5: Solve for x
    x = 67,771,302,546.85/275,810.94
  6. Step 6: Final answer
    x = 245,716.52

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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.