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Finding the Fourth Proportional to 258,694.75, 388,292.38 and 186,721.86

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Solution

The fourth proportional to 258,694.75, 388,292.38 and 186,721.86 is: 280,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,694.75 : 388,292.38 = 186,721.86 : x
  2. Step 2: Convert to fraction form
    258,694.75/388,292.38 = 186,721.86/x
  3. Step 3: Cross multiply
    258,694.75x = 388,292.38 × 186,721.86
  4. Step 4: Simplify right side
    258,694.75x = 72,502,675,272.88
  5. Step 5: Solve for x
    x = 72,502,675,272.88/258,694.75
  6. Step 6: Final answer
    x = 280,263.42

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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.