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Finding the Fourth Proportional to 501,105.12, 691,524.72 and 274,754.40

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Solution

The fourth proportional to 501,105.12, 691,524.72 and 274,754.40 is: 379,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,105.12 : 691,524.72 = 274,754.40 : x
  2. Step 2: Convert to fraction form
    501,105.12/691,524.72 = 274,754.40/x
  3. Step 3: Cross multiply
    501,105.12x = 691,524.72 × 274,754.40
  4. Step 4: Simplify right side
    501,105.12x = 189,999,459,528.77
  5. Step 5: Solve for x
    x = 189,999,459,528.77/501,105.12
  6. Step 6: Final answer
    x = 379,160.88

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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.