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Finding the Fourth Proportional to 280,692.28, 421,338.02 and 120,847.32

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Solution

The fourth proportional to 280,692.28, 421,338.02 and 120,847.32 is: 181,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,692.28 : 421,338.02 = 120,847.32 : x
  2. Step 2: Convert to fraction form
    280,692.28/421,338.02 = 120,847.32/x
  3. Step 3: Cross multiply
    280,692.28x = 421,338.02 × 120,847.32
  4. Step 4: Simplify right side
    280,692.28x = 50,917,570,531.11
  5. Step 5: Solve for x
    x = 50,917,570,531.11/280,692.28
  6. Step 6: Final answer
    x = 181,399.97

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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.