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Finding the Fourth Proportional to 258,843.06, 388,103.76 and 109,006.20

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Solution

The fourth proportional to 258,843.06, 388,103.76 and 109,006.20 is: 163,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,843.06 : 388,103.76 = 109,006.20 : x
  2. Step 2: Convert to fraction form
    258,843.06/388,103.76 = 109,006.20/x
  3. Step 3: Cross multiply
    258,843.06x = 388,103.76 × 109,006.20
  4. Step 4: Simplify right side
    258,843.06x = 42,305,716,083.31
  5. Step 5: Solve for x
    x = 42,305,716,083.31/258,843.06
  6. Step 6: Final answer
    x = 163,441.57

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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.