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Finding the Fourth Proportional to 324,098.40, 486,147.60 and 166,342.80

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Solution

The fourth proportional to 324,098.40, 486,147.60 and 166,342.80 is: 249,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,098.40 : 486,147.60 = 166,342.80 : x
  2. Step 2: Convert to fraction form
    324,098.40/486,147.60 = 166,342.80/x
  3. Step 3: Cross multiply
    324,098.40x = 486,147.60 × 166,342.80
  4. Step 4: Simplify right side
    324,098.40x = 80,867,152,997.28
  5. Step 5: Solve for x
    x = 80,867,152,997.28/324,098.40
  6. Step 6: Final answer
    x = 249,514.20

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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.