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Finding the Fourth Proportional to 422,479.54, 582,701.17 and 306,022.81

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Solution

The fourth proportional to 422,479.54, 582,701.17 and 306,022.81 is: 422,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,479.54 : 582,701.17 = 306,022.81 : x
  2. Step 2: Convert to fraction form
    422,479.54/582,701.17 = 306,022.81/x
  3. Step 3: Cross multiply
    422,479.54x = 582,701.17 × 306,022.81
  4. Step 4: Simplify right side
    422,479.54x = 178,319,849,433.69
  5. Step 5: Solve for x
    x = 178,319,849,433.69/422,479.54
  6. Step 6: Final answer
    x = 422,079.25

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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.