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Finding the Fourth Proportional to 421,321.23, 631,853.31 and 221,533.23

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Solution

The fourth proportional to 421,321.23, 631,853.31 and 221,533.23 is: 332,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,321.23 : 631,853.31 = 221,533.23 : x
  2. Step 2: Convert to fraction form
    421,321.23/631,853.31 = 221,533.23/x
  3. Step 3: Cross multiply
    421,321.23x = 631,853.31 × 221,533.23
  4. Step 4: Simplify right side
    421,321.23x = 139,976,504,650.49
  5. Step 5: Solve for x
    x = 139,976,504,650.49/421,321.23
  6. Step 6: Final answer
    x = 332,232.26

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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.