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Finding the Fourth Proportional to 270,692.70, 406,039.05 and 221,485.20

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Solution

The fourth proportional to 270,692.70, 406,039.05 and 221,485.20 is: 332,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,692.70 : 406,039.05 = 221,485.20 : x
  2. Step 2: Convert to fraction form
    270,692.70/406,039.05 = 221,485.20/x
  3. Step 3: Cross multiply
    270,692.70x = 406,039.05 × 221,485.20
  4. Step 4: Simplify right side
    270,692.70x = 89,931,640,197.06
  5. Step 5: Solve for x
    x = 89,931,640,197.06/270,692.70
  6. Step 6: Final answer
    x = 332,227.80

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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.