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Finding the Fourth Proportional to 538,972.60, 743,781 and 324,237.28

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Solution

The fourth proportional to 538,972.60, 743,781 and 324,237.28 is: 447,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,972.60 : 743,781 = 324,237.28 : x
  2. Step 2: Convert to fraction form
    538,972.60/743,781 = 324,237.28/x
  3. Step 3: Cross multiply
    538,972.60x = 743,781 × 324,237.28
  4. Step 4: Simplify right side
    538,972.60x = 241,161,528,355.68
  5. Step 5: Solve for x
    x = 241,161,528,355.68/538,972.60
  6. Step 6: Final answer
    x = 447,446.73

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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.