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Finding the Fourth Proportional to 306,313.82, 422,651.13 and 178,964.81

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Solution

The fourth proportional to 306,313.82, 422,651.13 and 178,964.81 is: 246,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,313.82 : 422,651.13 = 178,964.81 : x
  2. Step 2: Convert to fraction form
    306,313.82/422,651.13 = 178,964.81/x
  3. Step 3: Cross multiply
    306,313.82x = 422,651.13 × 178,964.81
  4. Step 4: Simplify right side
    306,313.82x = 75,639,679,176.74
  5. Step 5: Solve for x
    x = 75,639,679,176.74/306,313.82
  6. Step 6: Final answer
    x = 246,935.25

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1.5x scale

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.