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Finding the Fourth Proportional to 509,692.77, 703,361.07 and 280,249.83

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Solution

The fourth proportional to 509,692.77, 703,361.07 and 280,249.83 is: 386,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,692.77 : 703,361.07 = 280,249.83 : x
  2. Step 2: Convert to fraction form
    509,692.77/703,361.07 = 280,249.83/x
  3. Step 3: Cross multiply
    509,692.77x = 703,361.07 × 280,249.83
  4. Step 4: Simplify right side
    509,692.77x = 197,116,820,296.12
  5. Step 5: Solve for x
    x = 197,116,820,296.12/509,692.77
  6. Step 6: Final answer
    x = 386,736.54

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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.