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Finding the Fourth Proportional to 422,232, 582,686.48 and 231,263.20

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Solution

The fourth proportional to 422,232, 582,686.48 and 231,263.20 is: 319,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,232 : 582,686.48 = 231,263.20 : x
  2. Step 2: Convert to fraction form
    422,232/582,686.48 = 231,263.20/x
  3. Step 3: Cross multiply
    422,232x = 582,686.48 × 231,263.20
  4. Step 4: Simplify right side
    422,232x = 134,753,939,961.54
  5. Step 5: Solve for x
    x = 134,753,939,961.54/422,232
  6. Step 6: Final answer
    x = 319,146.68

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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.