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Finding the Fourth Proportional to 381,692.80, 572,539.20 and 269,718.40

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Solution

The fourth proportional to 381,692.80, 572,539.20 and 269,718.40 is: 404,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,692.80 : 572,539.20 = 269,718.40 : x
  2. Step 2: Convert to fraction form
    381,692.80/572,539.20 = 269,718.40/x
  3. Step 3: Cross multiply
    381,692.80x = 572,539.20 × 269,718.40
  4. Step 4: Simplify right side
    381,692.80x = 154,424,356,961.28
  5. Step 5: Solve for x
    x = 154,424,356,961.28/381,692.80
  6. Step 6: Final answer
    x = 404,577.60

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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.