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Finding the Fourth Proportional to 422,159.86, 582,574.71 and 231,173.20

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Solution

The fourth proportional to 422,159.86, 582,574.71 and 231,173.20 is: 319,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,159.86 : 582,574.71 = 231,173.20 : x
  2. Step 2: Convert to fraction form
    422,159.86/582,574.71 = 231,173.20/x
  3. Step 3: Cross multiply
    422,159.86x = 582,574.71 × 231,173.20
  4. Step 4: Simplify right side
    422,159.86x = 134,675,659,949.77
  5. Step 5: Solve for x
    x = 134,675,659,949.77/422,159.86
  6. Step 6: Final answer
    x = 319,015.79

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1.5x scale

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.