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Finding the Fourth Proportional to 324,092.60, 486,576.30 and 257,607.80

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Solution

The fourth proportional to 324,092.60, 486,576.30 and 257,607.80 is: 386,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,092.60 : 486,576.30 = 257,607.80 : x
  2. Step 2: Convert to fraction form
    324,092.60/486,576.30 = 257,607.80/x
  3. Step 3: Cross multiply
    324,092.60x = 486,576.30 × 257,607.80
  4. Step 4: Simplify right side
    324,092.60x = 125,345,850,175.14
  5. Step 5: Solve for x
    x = 125,345,850,175.14/324,092.60
  6. Step 6: Final answer
    x = 386,759.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.