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Finding the Fourth Proportional to 259,388.20, 388,794.30 and 101,564.20

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Solution

The fourth proportional to 259,388.20, 388,794.30 and 101,564.20 is: 152,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,388.20 : 388,794.30 = 101,564.20 : x
  2. Step 2: Convert to fraction form
    259,388.20/388,794.30 = 101,564.20/x
  3. Step 3: Cross multiply
    259,388.20x = 388,794.30 × 101,564.20
  4. Step 4: Simplify right side
    259,388.20x = 39,487,582,044.06
  5. Step 5: Solve for x
    x = 39,487,582,044.06/259,388.20
  6. Step 6: Final answer
    x = 152,233.53

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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.