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Finding the Fourth Proportional to 500,343.76, 690,474.44 and 274,003.28

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Solution

The fourth proportional to 500,343.76, 690,474.44 and 274,003.28 is: 378,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,343.76 : 690,474.44 = 274,003.28 : x
  2. Step 2: Convert to fraction form
    500,343.76/690,474.44 = 274,003.28/x
  3. Step 3: Cross multiply
    500,343.76x = 690,474.44 × 274,003.28
  4. Step 4: Simplify right side
    500,343.76x = 189,192,261,316.16
  5. Step 5: Solve for x
    x = 189,192,261,316.16/500,343.76
  6. Step 6: Final answer
    x = 378,124.55

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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.