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Finding the Fourth Proportional to 382,692.87, 528,180.87 and 221,645.82

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Solution

The fourth proportional to 382,692.87, 528,180.87 and 221,645.82 is: 305,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,692.87 : 528,180.87 = 221,645.82 : x
  2. Step 2: Convert to fraction form
    382,692.87/528,180.87 = 221,645.82/x
  3. Step 3: Cross multiply
    382,692.87x = 528,180.87 × 221,645.82
  4. Step 4: Simplify right side
    382,692.87x = 117,069,082,039.46
  5. Step 5: Solve for x
    x = 117,069,082,039.46/382,692.87
  6. Step 6: Final answer
    x = 305,908.71

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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.