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Finding the Fourth Proportional to 449,489.94, 674,230.30 and 259,829.63

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Solution

The fourth proportional to 449,489.94, 674,230.30 and 259,829.63 is: 389,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,489.94 : 674,230.30 = 259,829.63 : x
  2. Step 2: Convert to fraction form
    449,489.94/674,230.30 = 259,829.63/x
  3. Step 3: Cross multiply
    449,489.94x = 674,230.30 × 259,829.63
  4. Step 4: Simplify right side
    449,489.94x = 175,185,009,383.79
  5. Step 5: Solve for x
    x = 175,185,009,383.79/449,489.94
  6. Step 6: Final answer
    x = 389,741.78

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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.