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Finding the Fourth Proportional to 306,768.92, 459,765.66 and 138,109.64

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Solution

The fourth proportional to 306,768.92, 459,765.66 and 138,109.64 is: 206,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,768.92 : 459,765.66 = 138,109.64 : x
  2. Step 2: Convert to fraction form
    306,768.92/459,765.66 = 138,109.64/x
  3. Step 3: Cross multiply
    306,768.92x = 459,765.66 × 138,109.64
  4. Step 4: Simplify right side
    306,768.92x = 63,498,069,786.96
  5. Step 5: Solve for x
    x = 63,498,069,786.96/306,768.92
  6. Step 6: Final answer
    x = 206,989.91

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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.