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Finding the Fourth Proportional to 300,993.12, 415,370.52 and 166,857.12

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Solution

The fourth proportional to 300,993.12, 415,370.52 and 166,857.12 is: 230,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,993.12 : 415,370.52 = 166,857.12 : x
  2. Step 2: Convert to fraction form
    300,993.12/415,370.52 = 166,857.12/x
  3. Step 3: Cross multiply
    300,993.12x = 415,370.52 × 166,857.12
  4. Step 4: Simplify right side
    300,993.12x = 69,307,528,700.10
  5. Step 5: Solve for x
    x = 69,307,528,700.10/300,993.12
  6. Step 6: Final answer
    x = 230,262.83

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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.