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Finding the Fourth Proportional to 427,692.11, 641,680.67 and 143,410.76

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Solution

The fourth proportional to 427,692.11, 641,680.67 and 143,410.76 is: 215,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,692.11 : 641,680.67 = 143,410.76 : x
  2. Step 2: Convert to fraction form
    427,692.11/641,680.67 = 143,410.76/x
  3. Step 3: Cross multiply
    427,692.11x = 641,680.67 × 143,410.76
  4. Step 4: Simplify right side
    427,692.11x = 92,023,911,844.96
  5. Step 5: Solve for x
    x = 92,023,911,844.96/427,692.11
  6. Step 6: Final answer
    x = 215,163.92

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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.