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Finding the Fourth Proportional to 392,609.40, 541,827.96 and 218,200.62

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Solution

The fourth proportional to 392,609.40, 541,827.96 and 218,200.62 is: 301,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,609.40 : 541,827.96 = 218,200.62 : x
  2. Step 2: Convert to fraction form
    392,609.40/541,827.96 = 218,200.62/x
  3. Step 3: Cross multiply
    392,609.40x = 541,827.96 × 218,200.62
  4. Step 4: Simplify right side
    392,609.40x = 118,227,196,805.34
  5. Step 5: Solve for x
    x = 118,227,196,805.34/392,609.40
  6. Step 6: Final answer
    x = 301,131.85

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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.