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Finding the Fourth Proportional to 324,871.70, 486,659.55 and 285,905.30

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Solution

The fourth proportional to 324,871.70, 486,659.55 and 285,905.30 is: 428,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,871.70 : 486,659.55 = 285,905.30 : x
  2. Step 2: Convert to fraction form
    324,871.70/486,659.55 = 285,905.30/x
  3. Step 3: Cross multiply
    324,871.70x = 486,659.55 × 285,905.30
  4. Step 4: Simplify right side
    324,871.70x = 139,138,544,640.62
  5. Step 5: Solve for x
    x = 139,138,544,640.62/324,871.70
  6. Step 6: Final answer
    x = 428,287.67

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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.