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Finding the Fourth Proportional to 422,334.32, 582,805.64 and 231,349.28

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Solution

The fourth proportional to 422,334.32, 582,805.64 and 231,349.28 is: 319,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,334.32 : 582,805.64 = 231,349.28 : x
  2. Step 2: Convert to fraction form
    422,334.32/582,805.64 = 231,349.28/x
  3. Step 3: Cross multiply
    422,334.32x = 582,805.64 × 231,349.28
  4. Step 4: Simplify right side
    422,334.32x = 134,831,665,193.94
  5. Step 5: Solve for x
    x = 134,831,665,193.94/422,334.32
  6. Step 6: Final answer
    x = 319,253.39

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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.