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Finding the Fourth Proportional to 538,892.26, 743,671.02 and 309,464.56

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Solution

The fourth proportional to 538,892.26, 743,671.02 and 309,464.56 is: 427,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,892.26 : 743,671.02 = 309,464.56 : x
  2. Step 2: Convert to fraction form
    538,892.26/743,671.02 = 309,464.56/x
  3. Step 3: Cross multiply
    538,892.26x = 743,671.02 × 309,464.56
  4. Step 4: Simplify right side
    538,892.26x = 230,139,824,989.05
  5. Step 5: Solve for x
    x = 230,139,824,989.05/538,892.26
  6. Step 6: Final answer
    x = 427,060.92

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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.