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Finding the Fourth Proportional to 300,780.81, 415,065.33 and 179,850.78

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Solution

The fourth proportional to 300,780.81, 415,065.33 and 179,850.78 is: 248,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,780.81 : 415,065.33 = 179,850.78 : x
  2. Step 2: Convert to fraction form
    300,780.81/415,065.33 = 179,850.78/x
  3. Step 3: Cross multiply
    300,780.81x = 415,065.33 × 179,850.78
  4. Step 4: Simplify right side
    300,780.81x = 74,649,823,351.46
  5. Step 5: Solve for x
    x = 74,649,823,351.46/300,780.81
  6. Step 6: Final answer
    x = 248,186.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.