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Finding the Fourth Proportional to 306,065.80, 422,249.86 and 176,980.52

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Solution

The fourth proportional to 306,065.80, 422,249.86 and 176,980.52 is: 244,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,065.80 : 422,249.86 = 176,980.52 : x
  2. Step 2: Convert to fraction form
    306,065.80/422,249.86 = 176,980.52/x
  3. Step 3: Cross multiply
    306,065.80x = 422,249.86 × 176,980.52
  4. Step 4: Simplify right side
    306,065.80x = 74,729,999,792.73
  5. Step 5: Solve for x
    x = 74,729,999,792.73/306,065.80
  6. Step 6: Final answer
    x = 244,163.18

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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.