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Finding the Fourth Proportional to 421,469.19, 631,646.10 and 221,380.56

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Solution

The fourth proportional to 421,469.19, 631,646.10 and 221,380.56 is: 331,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,469.19 : 631,646.10 = 221,380.56 : x
  2. Step 2: Convert to fraction form
    421,469.19/631,646.10 = 221,380.56/x
  3. Step 3: Cross multiply
    421,469.19x = 631,646.10 × 221,380.56
  4. Step 4: Simplify right side
    421,469.19x = 139,834,167,339.82
  5. Step 5: Solve for x
    x = 139,834,167,339.82/421,469.19
  6. Step 6: Final answer
    x = 331,777.91

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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.