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Finding the Fourth Proportional to 259,497.57, 389,311.82 and 72,509.07

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Solution

The fourth proportional to 259,497.57, 389,311.82 and 72,509.07 is: 108,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,497.57 : 389,311.82 = 72,509.07 : x
  2. Step 2: Convert to fraction form
    259,497.57/389,311.82 = 72,509.07/x
  3. Step 3: Cross multiply
    259,497.57x = 389,311.82 × 72,509.07
  4. Step 4: Simplify right side
    259,497.57x = 28,228,639,377.49
  5. Step 5: Solve for x
    x = 28,228,639,377.49/259,497.57
  6. Step 6: Final answer
    x = 108,781.90

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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.