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Finding the Fourth Proportional to 399,820.14, 551,713.82 and 218,520.54

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Solution

The fourth proportional to 399,820.14, 551,713.82 and 218,520.54 is: 301,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,820.14 : 551,713.82 = 218,520.54 : x
  2. Step 2: Convert to fraction form
    399,820.14/551,713.82 = 218,520.54/x
  3. Step 3: Cross multiply
    399,820.14x = 551,713.82 × 218,520.54
  4. Step 4: Simplify right side
    399,820.14x = 120,560,800,779.26
  5. Step 5: Solve for x
    x = 120,560,800,779.26/399,820.14
  6. Step 6: Final answer
    x = 301,537.59

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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.