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Finding the Fourth Proportional to 264,610.56, 396,832.14 and 87,078

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Solution

The fourth proportional to 264,610.56, 396,832.14 and 87,078 is: 130,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,610.56 : 396,832.14 = 87,078 : x
  2. Step 2: Convert to fraction form
    264,610.56/396,832.14 = 87,078/x
  3. Step 3: Cross multiply
    264,610.56x = 396,832.14 × 87,078
  4. Step 4: Simplify right side
    264,610.56x = 34,555,349,086.92
  5. Step 5: Solve for x
    x = 34,555,349,086.92/264,610.56
  6. Step 6: Final answer
    x = 130,589.46

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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.