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Finding the Fourth Proportional to 412,275.70, 617,474.67 and 245,719.54

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Solution

The fourth proportional to 412,275.70, 617,474.67 and 245,719.54 is: 368,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,275.70 : 617,474.67 = 245,719.54 : x
  2. Step 2: Convert to fraction form
    412,275.70/617,474.67 = 245,719.54/x
  3. Step 3: Cross multiply
    412,275.70x = 617,474.67 × 245,719.54
  4. Step 4: Simplify right side
    412,275.70x = 151,725,591,874.05
  5. Step 5: Solve for x
    x = 151,725,591,874.05/412,275.70
  6. Step 6: Final answer
    x = 368,019.73

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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.