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Finding the Fourth Proportional to 272,824, 409,236 and 75,832

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Solution

The fourth proportional to 272,824, 409,236 and 75,832 is: 113,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,824 : 409,236 = 75,832 : x
  2. Step 2: Convert to fraction form
    272,824/409,236 = 75,832/x
  3. Step 3: Cross multiply
    272,824x = 409,236 × 75,832
  4. Step 4: Simplify right side
    272,824x = 31,033,184,352
  5. Step 5: Solve for x
    x = 31,033,184,352/272,824
  6. Step 6: Final answer
    x = 113,748

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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.