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Finding the Fourth Proportional to 422,080.27, 582,077.29 and 390,730.94

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Solution

The fourth proportional to 422,080.27, 582,077.29 and 390,730.94 is: 538,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,080.27 : 582,077.29 = 390,730.94 : x
  2. Step 2: Convert to fraction form
    422,080.27/582,077.29 = 390,730.94/x
  3. Step 3: Cross multiply
    422,080.27x = 582,077.29 × 390,730.94
  4. Step 4: Simplify right side
    422,080.27x = 227,435,605,702.55
  5. Step 5: Solve for x
    x = 227,435,605,702.55/422,080.27
  6. Step 6: Final answer
    x = 538,844.44

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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.