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Finding the Fourth Proportional to 259,416.94, 389,243.64 and 133,145.86

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Solution

The fourth proportional to 259,416.94, 389,243.64 and 133,145.86 is: 199,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416.94 : 389,243.64 = 133,145.86 : x
  2. Step 2: Convert to fraction form
    259,416.94/389,243.64 = 133,145.86/x
  3. Step 3: Cross multiply
    259,416.94x = 389,243.64 × 133,145.86
  4. Step 4: Simplify right side
    259,416.94x = 51,826,179,197.33
  5. Step 5: Solve for x
    x = 51,826,179,197.33/259,416.94
  6. Step 6: Final answer
    x = 199,779.47

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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.