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Finding the Fourth Proportional to 447,560.67, 617,647.05 and 275,577.87

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Solution

The fourth proportional to 447,560.67, 617,647.05 and 275,577.87 is: 380,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,560.67 : 617,647.05 = 275,577.87 : x
  2. Step 2: Convert to fraction form
    447,560.67/617,647.05 = 275,577.87/x
  3. Step 3: Cross multiply
    447,560.67x = 617,647.05 × 275,577.87
  4. Step 4: Simplify right side
    447,560.67x = 170,209,858,450.78
  5. Step 5: Solve for x
    x = 170,209,858,450.78/447,560.67
  6. Step 6: Final answer
    x = 380,305.67

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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.