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Finding the Fourth Proportional to 287,078.64, 396,238.86 and 222,420

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Solution

The fourth proportional to 287,078.64, 396,238.86 and 222,420 is: 306,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,078.64 : 396,238.86 = 222,420 : x
  2. Step 2: Convert to fraction form
    287,078.64/396,238.86 = 222,420/x
  3. Step 3: Cross multiply
    287,078.64x = 396,238.86 × 222,420
  4. Step 4: Simplify right side
    287,078.64x = 88,131,447,241.20
  5. Step 5: Solve for x
    x = 88,131,447,241.20/287,078.64
  6. Step 6: Final answer
    x = 306,994.09

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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.