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Finding the Fourth Proportional to 282,137.82, 422,957.61 and 215,873.77

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Solution

The fourth proportional to 282,137.82, 422,957.61 and 215,873.77 is: 323,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,137.82 : 422,957.61 = 215,873.77 : x
  2. Step 2: Convert to fraction form
    282,137.82/422,957.61 = 215,873.77/x
  3. Step 3: Cross multiply
    282,137.82x = 422,957.61 × 215,873.77
  4. Step 4: Simplify right side
    282,137.82x = 91,305,452,438.81
  5. Step 5: Solve for x
    x = 91,305,452,438.81/282,137.82
  6. Step 6: Final answer
    x = 323,620.04

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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.