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Finding the Fourth Proportional to 324,167.60, 486,688.80 and 257,682.80

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Solution

The fourth proportional to 324,167.60, 486,688.80 and 257,682.80 is: 386,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,167.60 : 486,688.80 = 257,682.80 : x
  2. Step 2: Convert to fraction form
    324,167.60/486,688.80 = 257,682.80/x
  3. Step 3: Cross multiply
    324,167.60x = 486,688.80 × 257,682.80
  4. Step 4: Simplify right side
    324,167.60x = 125,411,332,712.64
  5. Step 5: Solve for x
    x = 125,411,332,712.64/324,167.60
  6. Step 6: Final answer
    x = 386,871.89

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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.