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Finding the Fourth Proportional to 259,360, 388,946.42 and 109,611.88

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Solution

The fourth proportional to 259,360, 388,946.42 and 109,611.88 is: 164,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,360 : 388,946.42 = 109,611.88 : x
  2. Step 2: Convert to fraction form
    259,360/388,946.42 = 109,611.88/x
  3. Step 3: Cross multiply
    259,360x = 388,946.42 × 109,611.88
  4. Step 4: Simplify right side
    259,360x = 42,633,148,315.47
  5. Step 5: Solve for x
    x = 42,633,148,315.47/259,360
  6. Step 6: Final answer
    x = 164,378.27

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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.