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Finding the Fourth Proportional to 259,322, 389,048.72 and 72,333.52

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Solution

The fourth proportional to 259,322, 389,048.72 and 72,333.52 is: 108,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,322 : 389,048.72 = 72,333.52 : x
  2. Step 2: Convert to fraction form
    259,322/389,048.72 = 72,333.52/x
  3. Step 3: Cross multiply
    259,322x = 389,048.72 × 72,333.52
  4. Step 4: Simplify right side
    259,322x = 28,141,263,369.09
  5. Step 5: Solve for x
    x = 28,141,263,369.09/259,322
  6. Step 6: Final answer
    x = 108,518.61

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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.