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Finding the Fourth Proportional to 392,429.16, 541,536.24 and 222,659.64

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Solution

The fourth proportional to 392,429.16, 541,536.24 and 222,659.64 is: 307,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,429.16 : 541,536.24 = 222,659.64 : x
  2. Step 2: Convert to fraction form
    392,429.16/541,536.24 = 222,659.64/x
  3. Step 3: Cross multiply
    392,429.16x = 541,536.24 × 222,659.64
  4. Step 4: Simplify right side
    392,429.16x = 120,578,264,245.35
  5. Step 5: Solve for x
    x = 120,578,264,245.35/392,429.16
  6. Step 6: Final answer
    x = 307,261.22

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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.