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Finding the Fourth Proportional to 422,448.04, 582,978.18 and 231,468.68

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Solution

The fourth proportional to 422,448.04, 582,978.18 and 231,468.68 is: 319,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,448.04 : 582,978.18 = 231,468.68 : x
  2. Step 2: Convert to fraction form
    422,448.04/582,978.18 = 231,468.68/x
  3. Step 3: Cross multiply
    422,448.04x = 582,978.18 × 231,468.68
  4. Step 4: Simplify right side
    422,448.04x = 134,941,189,793.40
  5. Step 5: Solve for x
    x = 134,941,189,793.40/422,448.04
  6. Step 6: Final answer
    x = 319,426.72

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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.