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Finding the Fourth Proportional to 310,057.42, 427,926 and 189,268.96

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Solution

The fourth proportional to 310,057.42, 427,926 and 189,268.96 is: 261,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,057.42 : 427,926 = 189,268.96 : x
  2. Step 2: Convert to fraction form
    310,057.42/427,926 = 189,268.96/x
  3. Step 3: Cross multiply
    310,057.42x = 427,926 × 189,268.96
  4. Step 4: Simplify right side
    310,057.42x = 80,993,108,976.96
  5. Step 5: Solve for x
    x = 80,993,108,976.96/310,057.42
  6. Step 6: Final answer
    x = 261,219.71

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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.