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Finding the Fourth Proportional to 420,745.23, 631,302.80 and 221,019.21

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Solution

The fourth proportional to 420,745.23, 631,302.80 and 221,019.21 is: 331,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,745.23 : 631,302.80 = 221,019.21 : x
  2. Step 2: Convert to fraction form
    420,745.23/631,302.80 = 221,019.21/x
  3. Step 3: Cross multiply
    420,745.23x = 631,302.80 × 221,019.21
  4. Step 4: Simplify right side
    420,745.23x = 139,530,045,021.69
  5. Step 5: Solve for x
    x = 139,530,045,021.69/420,745.23
  6. Step 6: Final answer
    x = 331,625.97

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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.