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Finding the Fourth Proportional to 421,782.24, 632,650.64 and 106,238.56

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Solution

The fourth proportional to 421,782.24, 632,650.64 and 106,238.56 is: 159,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,782.24 : 632,650.64 = 106,238.56 : x
  2. Step 2: Convert to fraction form
    421,782.24/632,650.64 = 106,238.56/x
  3. Step 3: Cross multiply
    421,782.24x = 632,650.64 × 106,238.56
  4. Step 4: Simplify right side
    421,782.24x = 67,211,892,976.68
  5. Step 5: Solve for x
    x = 67,211,892,976.68/421,782.24
  6. Step 6: Final answer
    x = 159,352.12

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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.