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Finding the Fourth Proportional to 259,509.56, 389,439 and 91,031.48

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Solution

The fourth proportional to 259,509.56, 389,439 and 91,031.48 is: 136,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,509.56 : 389,439 = 91,031.48 : x
  2. Step 2: Convert to fraction form
    259,509.56/389,439 = 91,031.48/x
  3. Step 3: Cross multiply
    259,509.56x = 389,439 × 91,031.48
  4. Step 4: Simplify right side
    259,509.56x = 35,451,208,539.72
  5. Step 5: Solve for x
    x = 35,451,208,539.72/259,509.56
  6. Step 6: Final answer
    x = 136,608.49

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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.