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Finding the Fourth Proportional to 422,249.32, 582,681.84 and 231,258.64

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Solution

The fourth proportional to 422,249.32, 582,681.84 and 231,258.64 is: 319,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,249.32 : 582,681.84 = 231,258.64 : x
  2. Step 2: Convert to fraction form
    422,249.32/582,681.84 = 231,258.64/x
  3. Step 3: Cross multiply
    422,249.32x = 582,681.84 × 231,258.64
  4. Step 4: Simplify right side
    422,249.32x = 134,750,209,871.10
  5. Step 5: Solve for x
    x = 134,750,209,871.10/422,249.32
  6. Step 6: Final answer
    x = 319,124.75

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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.