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Finding the Fourth Proportional to 449,769.31, 674,406.86 and 221,562.78

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Solution

The fourth proportional to 449,769.31, 674,406.86 and 221,562.78 is: 332,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,769.31 : 674,406.86 = 221,562.78 : x
  2. Step 2: Convert to fraction form
    449,769.31/674,406.86 = 221,562.78/x
  3. Step 3: Cross multiply
    449,769.31x = 674,406.86 × 221,562.78
  4. Step 4: Simplify right side
    449,769.31x = 149,423,458,752.67
  5. Step 5: Solve for x
    x = 149,423,458,752.67/449,769.31
  6. Step 6: Final answer
    x = 332,222.45

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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.