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Finding the Fourth Proportional to 324,021.78, 486,032.67 and 102,388.50

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Solution

The fourth proportional to 324,021.78, 486,032.67 and 102,388.50 is: 153,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,021.78 : 486,032.67 = 102,388.50 : x
  2. Step 2: Convert to fraction form
    324,021.78/486,032.67 = 102,388.50/x
  3. Step 3: Cross multiply
    324,021.78x = 486,032.67 × 102,388.50
  4. Step 4: Simplify right side
    324,021.78x = 49,764,156,032.30
  5. Step 5: Solve for x
    x = 49,764,156,032.30/324,021.78
  6. Step 6: Final answer
    x = 153,582.75

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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.