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Finding the Fourth Proportional to 449,734.04, 674,542.56 and 213,227

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Solution

The fourth proportional to 449,734.04, 674,542.56 and 213,227 is: 319,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,734.04 : 674,542.56 = 213,227 : x
  2. Step 2: Convert to fraction form
    449,734.04/674,542.56 = 213,227/x
  3. Step 3: Cross multiply
    449,734.04x = 674,542.56 × 213,227
  4. Step 4: Simplify right side
    449,734.04x = 143,830,686,441.12
  5. Step 5: Solve for x
    x = 143,830,686,441.12/449,734.04
  6. Step 6: Final answer
    x = 319,812.76

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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.