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Finding the Fourth Proportional to 539,192, 744,084.96 and 300,728

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Solution

The fourth proportional to 539,192, 744,084.96 and 300,728 is: 415,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,192 : 744,084.96 = 300,728 : x
  2. Step 2: Convert to fraction form
    539,192/744,084.96 = 300,728/x
  3. Step 3: Cross multiply
    539,192x = 744,084.96 × 300,728
  4. Step 4: Simplify right side
    539,192x = 223,767,181,850.88
  5. Step 5: Solve for x
    x = 223,767,181,850.88/539,192
  6. Step 6: Final answer
    x = 415,004.64

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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.