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Finding the Fourth Proportional to 300,941, 415,298.64 and 166,805

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Solution

The fourth proportional to 300,941, 415,298.64 and 166,805 is: 230,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,941 : 415,298.64 = 166,805 : x
  2. Step 2: Convert to fraction form
    300,941/415,298.64 = 166,805/x
  3. Step 3: Cross multiply
    300,941x = 415,298.64 × 166,805
  4. Step 4: Simplify right side
    300,941x = 69,273,889,645.20
  5. Step 5: Solve for x
    x = 69,273,889,645.20/300,941
  6. Step 6: Final answer
    x = 230,190.93

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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.