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Finding the Fourth Proportional to 719,225, 1,078,889.34 and 275,993

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Solution

The fourth proportional to 719,225, 1,078,889.34 and 275,993 is: 414,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,225 : 1,078,889.34 = 275,993 : x
  2. Step 2: Convert to fraction form
    719,225/1,078,889.34 = 275,993/x
  3. Step 3: Cross multiply
    719,225x = 1,078,889.34 × 275,993
  4. Step 4: Simplify right side
    719,225x = 297,765,905,614.62
  5. Step 5: Solve for x
    x = 297,765,905,614.62/719,225
  6. Step 6: Final answer
    x = 414,009.39

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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.