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Finding the Fourth Proportional to 259,306.80, 388,819.80 and 116,985.75

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Solution

The fourth proportional to 259,306.80, 388,819.80 and 116,985.75 is: 175,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,306.80 : 388,819.80 = 116,985.75 : x
  2. Step 2: Convert to fraction form
    259,306.80/388,819.80 = 116,985.75/x
  3. Step 3: Cross multiply
    259,306.80x = 388,819.80 × 116,985.75
  4. Step 4: Simplify right side
    259,306.80x = 45,486,375,917.85
  5. Step 5: Solve for x
    x = 45,486,375,917.85/259,306.80
  6. Step 6: Final answer
    x = 175,415.28

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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.