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Finding the Fourth Proportional to 411,635.50, 617,278.11 and 253,821.58

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Solution

The fourth proportional to 411,635.50, 617,278.11 and 253,821.58 is: 380,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,635.50 : 617,278.11 = 253,821.58 : x
  2. Step 2: Convert to fraction form
    411,635.50/617,278.11 = 253,821.58/x
  3. Step 3: Cross multiply
    411,635.50x = 617,278.11 × 253,821.58
  4. Step 4: Simplify right side
    411,635.50x = 156,678,505,179.61
  5. Step 5: Solve for x
    x = 156,678,505,179.61/411,635.50
  6. Step 6: Final answer
    x = 380,624.38

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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.