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Finding the Fourth Proportional to 300,793, 415,107.94 and 166,657

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Solution

The fourth proportional to 300,793, 415,107.94 and 166,657 is: 229,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,793 : 415,107.94 = 166,657 : x
  2. Step 2: Convert to fraction form
    300,793/415,107.94 = 166,657/x
  3. Step 3: Cross multiply
    300,793x = 415,107.94 × 166,657
  4. Step 4: Simplify right side
    300,793x = 69,180,643,956.58
  5. Step 5: Solve for x
    x = 69,180,643,956.58/300,793
  6. Step 6: Final answer
    x = 229,994.20

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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.