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Finding the Fourth Proportional to 324,098.60, 486,585.30 and 257,613.80

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Solution

The fourth proportional to 324,098.60, 486,585.30 and 257,613.80 is: 386,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,098.60 : 486,585.30 = 257,613.80 : x
  2. Step 2: Convert to fraction form
    324,098.60/486,585.30 = 257,613.80/x
  3. Step 3: Cross multiply
    324,098.60x = 486,585.30 × 257,613.80
  4. Step 4: Simplify right side
    324,098.60x = 125,351,088,157.14
  5. Step 5: Solve for x
    x = 125,351,088,157.14/324,098.60
  6. Step 6: Final answer
    x = 386,768.37

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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.