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Finding the Fourth Proportional to 287,072.66, 396,230.57 and 222,414

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Solution

The fourth proportional to 287,072.66, 396,230.57 and 222,414 is: 306,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,072.66 : 396,230.57 = 222,414 : x
  2. Step 2: Convert to fraction form
    287,072.66/396,230.57 = 222,414/x
  3. Step 3: Cross multiply
    287,072.66x = 396,230.57 × 222,414
  4. Step 4: Simplify right side
    287,072.66x = 88,127,226,552.02
  5. Step 5: Solve for x
    x = 88,127,226,552.02/287,072.66
  6. Step 6: Final answer
    x = 306,985.79

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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.