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Finding the Fourth Proportional to 767,797.83, 1,151,765.87 and 206,819.91

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Solution

The fourth proportional to 767,797.83, 1,151,765.87 and 206,819.91 is: 310,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,797.83 : 1,151,765.87 = 206,819.91 : x
  2. Step 2: Convert to fraction form
    767,797.83/1,151,765.87 = 206,819.91/x
  3. Step 3: Cross multiply
    767,797.83x = 1,151,765.87 × 206,819.91
  4. Step 4: Simplify right side
    767,797.83x = 238,208,112,540.37
  5. Step 5: Solve for x
    x = 238,208,112,540.37/767,797.83
  6. Step 6: Final answer
    x = 310,248.48

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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.