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Finding the Fourth Proportional to 392,321.82, 541,459.26 and 229,031.88

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Solution

The fourth proportional to 392,321.82, 541,459.26 and 229,031.88 is: 316,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,321.82 : 541,459.26 = 229,031.88 : x
  2. Step 2: Convert to fraction form
    392,321.82/541,459.26 = 229,031.88/x
  3. Step 3: Cross multiply
    392,321.82x = 541,459.26 × 229,031.88
  4. Step 4: Simplify right side
    392,321.82x = 124,011,432,261.21
  5. Step 5: Solve for x
    x = 124,011,432,261.21/392,321.82
  6. Step 6: Final answer
    x = 316,096.19

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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.