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Finding the Fourth Proportional to 284,692.48, 391,742.40 and 276,035.20

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Solution

The fourth proportional to 284,692.48, 391,742.40 and 276,035.20 is: 379,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,692.48 : 391,742.40 = 276,035.20 : x
  2. Step 2: Convert to fraction form
    284,692.48/391,742.40 = 276,035.20/x
  3. Step 3: Cross multiply
    284,692.48x = 391,742.40 × 276,035.20
  4. Step 4: Simplify right side
    284,692.48x = 108,134,691,732.48
  5. Step 5: Solve for x
    x = 108,134,691,732.48/284,692.48
  6. Step 6: Final answer
    x = 379,829.81

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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.