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Finding the Fourth Proportional to 324,095.60, 486,580.80 and 257,610.80

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Solution

The fourth proportional to 324,095.60, 486,580.80 and 257,610.80 is: 386,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,095.60 : 486,580.80 = 257,610.80 : x
  2. Step 2: Convert to fraction form
    324,095.60/486,580.80 = 257,610.80/x
  3. Step 3: Cross multiply
    324,095.60x = 486,580.80 × 257,610.80
  4. Step 4: Simplify right side
    324,095.60x = 125,348,469,152.64
  5. Step 5: Solve for x
    x = 125,348,469,152.64/324,095.60
  6. Step 6: Final answer
    x = 386,763.87

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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.