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Finding the Fourth Proportional to 449,490.94, 674,231.80 and 259,830.63

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Solution

The fourth proportional to 449,490.94, 674,231.80 and 259,830.63 is: 389,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,490.94 : 674,231.80 = 259,830.63 : x
  2. Step 2: Convert to fraction form
    449,490.94/674,231.80 = 259,830.63/x
  3. Step 3: Cross multiply
    449,490.94x = 674,231.80 × 259,830.63
  4. Step 4: Simplify right side
    449,490.94x = 175,186,073,360.03
  5. Step 5: Solve for x
    x = 175,186,073,360.03/449,490.94
  6. Step 6: Final answer
    x = 389,743.28

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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.