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Finding the Fourth Proportional to 291,958.56, 402,967.31 and 189,806.22

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Solution

The fourth proportional to 291,958.56, 402,967.31 and 189,806.22 is: 261,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,958.56 : 402,967.31 = 189,806.22 : x
  2. Step 2: Convert to fraction form
    291,958.56/402,967.31 = 189,806.22/x
  3. Step 3: Cross multiply
    291,958.56x = 402,967.31 × 189,806.22
  4. Step 4: Simplify right side
    291,958.56x = 76,485,700,945.64
  5. Step 5: Solve for x
    x = 76,485,700,945.64/291,958.56
  6. Step 6: Final answer
    x = 261,974.51

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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.