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Finding the Fourth Proportional to 449,665.74, 620,814.02 and 428,086.44

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Solution

The fourth proportional to 449,665.74, 620,814.02 and 428,086.44 is: 591,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,665.74 : 620,814.02 = 428,086.44 : x
  2. Step 2: Convert to fraction form
    449,665.74/620,814.02 = 428,086.44/x
  3. Step 3: Cross multiply
    449,665.74x = 620,814.02 × 428,086.44
  4. Step 4: Simplify right side
    449,665.74x = 265,762,061,583.46
  5. Step 5: Solve for x
    x = 265,762,061,583.46/449,665.74
  6. Step 6: Final answer
    x = 591,021.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.