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Finding the Fourth Proportional to 500,997.12, 691,392 and 274,640.64

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Solution

The fourth proportional to 500,997.12, 691,392 and 274,640.64 is: 379,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,997.12 : 691,392 = 274,640.64 : x
  2. Step 2: Convert to fraction form
    500,997.12/691,392 = 274,640.64/x
  3. Step 3: Cross multiply
    500,997.12x = 691,392 × 274,640.64
  4. Step 4: Simplify right side
    500,997.12x = 189,884,341,370.88
  5. Step 5: Solve for x
    x = 189,884,341,370.88/500,997.12
  6. Step 6: Final answer
    x = 379,012.84

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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.