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Finding the Fourth Proportional to 719,224, 1,078,887.84 and 275,992

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Solution

The fourth proportional to 719,224, 1,078,887.84 and 275,992 is: 414,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,224 : 1,078,887.84 = 275,992 : x
  2. Step 2: Convert to fraction form
    719,224/1,078,887.84 = 275,992/x
  3. Step 3: Cross multiply
    719,224x = 1,078,887.84 × 275,992
  4. Step 4: Simplify right side
    719,224x = 297,764,412,737.28
  5. Step 5: Solve for x
    x = 297,764,412,737.28/719,224
  6. Step 6: Final answer
    x = 414,007.89

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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.