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Finding the Fourth Proportional to 494,273.50, 680,258.73 and 407,538.70

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Solution

The fourth proportional to 494,273.50, 680,258.73 and 407,538.70 is: 560,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,273.50 : 680,258.73 = 407,538.70 : x
  2. Step 2: Convert to fraction form
    494,273.50/680,258.73 = 407,538.70/x
  3. Step 3: Cross multiply
    494,273.50x = 680,258.73 × 407,538.70
  4. Step 4: Simplify right side
    494,273.50x = 277,231,758,487.85
  5. Step 5: Solve for x
    x = 277,231,758,487.85/494,273.50
  6. Step 6: Final answer
    x = 560,887.36

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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.