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Finding the Fourth Proportional to 257,309.93, 385,965.81 and 182,202.88

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Solution

The fourth proportional to 257,309.93, 385,965.81 and 182,202.88 is: 273,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,309.93 : 385,965.81 = 182,202.88 : x
  2. Step 2: Convert to fraction form
    257,309.93/385,965.81 = 182,202.88/x
  3. Step 3: Cross multiply
    257,309.93x = 385,965.81 × 182,202.88
  4. Step 4: Simplify right side
    257,309.93x = 70,324,082,163.53
  5. Step 5: Solve for x
    x = 70,324,082,163.53/257,309.93
  6. Step 6: Final answer
    x = 273,304.97

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1.5x scale

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.