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Finding the Fourth Proportional to 422,271.63, 582,715.62 and 231,280.92

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Solution

The fourth proportional to 422,271.63, 582,715.62 and 231,280.92 is: 319,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,271.63 : 582,715.62 = 231,280.92 : x
  2. Step 2: Convert to fraction form
    422,271.63/582,715.62 = 231,280.92/x
  3. Step 3: Cross multiply
    422,271.63x = 582,715.62 × 231,280.92
  4. Step 4: Simplify right side
    422,271.63x = 134,771,004,691.97
  5. Step 5: Solve for x
    x = 134,771,004,691.97/422,271.63
  6. Step 6: Final answer
    x = 319,157.14

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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.