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Finding the Fourth Proportional to 270,692.70, 405,693.45 and 208,052.70

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Solution

The fourth proportional to 270,692.70, 405,693.45 and 208,052.70 is: 311,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,692.70 : 405,693.45 = 208,052.70 : x
  2. Step 2: Convert to fraction form
    270,692.70/405,693.45 = 208,052.70/x
  3. Step 3: Cross multiply
    270,692.70x = 405,693.45 × 208,052.70
  4. Step 4: Simplify right side
    270,692.70x = 84,405,617,644.82
  5. Step 5: Solve for x
    x = 84,405,617,644.82/270,692.70
  6. Step 6: Final answer
    x = 311,813.42

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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.