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Finding the Fourth Proportional to 306,900, 460,317.16 and 82,282.96

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Solution

The fourth proportional to 306,900, 460,317.16 and 82,282.96 is: 123,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,900 : 460,317.16 = 82,282.96 : x
  2. Step 2: Convert to fraction form
    306,900/460,317.16 = 82,282.96/x
  3. Step 3: Cross multiply
    306,900x = 460,317.16 × 82,282.96
  4. Step 4: Simplify right side
    306,900x = 37,876,258,463.59
  5. Step 5: Solve for x
    x = 37,876,258,463.59/306,900
  6. Step 6: Final answer
    x = 123,415.64

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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.