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Finding the Fourth Proportional to 287,107.82, 396,204.94 and 159,783.38

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Solution

The fourth proportional to 287,107.82, 396,204.94 and 159,783.38 is: 220,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,107.82 : 396,204.94 = 159,783.38 : x
  2. Step 2: Convert to fraction form
    287,107.82/396,204.94 = 159,783.38/x
  3. Step 3: Cross multiply
    287,107.82x = 396,204.94 × 159,783.38
  4. Step 4: Simplify right side
    287,107.82x = 63,306,964,485.90
  5. Step 5: Solve for x
    x = 63,306,964,485.90/287,107.82
  6. Step 6: Final answer
    x = 220,498.92

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1.5x scale

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.