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Finding the Fourth Proportional to 412,640.67, 618,961.01 and 272,366.49

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Solution

The fourth proportional to 412,640.67, 618,961.01 and 272,366.49 is: 408,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,640.67 : 618,961.01 = 272,366.49 : x
  2. Step 2: Convert to fraction form
    412,640.67/618,961.01 = 272,366.49/x
  3. Step 3: Cross multiply
    412,640.67x = 618,961.01 × 272,366.49
  4. Step 4: Simplify right side
    412,640.67x = 168,584,237,740.56
  5. Step 5: Solve for x
    x = 168,584,237,740.56/412,640.67
  6. Step 6: Final answer
    x = 408,549.74

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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.