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Finding the Fourth Proportional to 305,907.48, 422,180.84 and 185,078.44

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Solution

The fourth proportional to 305,907.48, 422,180.84 and 185,078.44 is: 255,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.48 : 422,180.84 = 185,078.44 : x
  2. Step 2: Convert to fraction form
    305,907.48/422,180.84 = 185,078.44/x
  3. Step 3: Cross multiply
    305,907.48x = 422,180.84 × 185,078.44
  4. Step 4: Simplify right side
    305,907.48x = 78,136,571,265.09
  5. Step 5: Solve for x
    x = 78,136,571,265.09/305,907.48
  6. Step 6: Final answer
    x = 255,425.50

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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.