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Finding the Fourth Proportional to 331,145.42, 456,968 and 187,896.92

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Solution

The fourth proportional to 331,145.42, 456,968 and 187,896.92 is: 259,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,145.42 : 456,968 = 187,896.92 : x
  2. Step 2: Convert to fraction form
    331,145.42/456,968 = 187,896.92/x
  3. Step 3: Cross multiply
    331,145.42x = 456,968 × 187,896.92
  4. Step 4: Simplify right side
    331,145.42x = 85,862,879,738.56
  5. Step 5: Solve for x
    x = 85,862,879,738.56/331,145.42
  6. Step 6: Final answer
    x = 259,290.56

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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.