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Finding the Fourth Proportional to 275,329.30, 412,993.95 and 264,831.70

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Solution

The fourth proportional to 275,329.30, 412,993.95 and 264,831.70 is: 397,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,329.30 : 412,993.95 = 264,831.70 : x
  2. Step 2: Convert to fraction form
    275,329.30/412,993.95 = 264,831.70/x
  3. Step 3: Cross multiply
    275,329.30x = 412,993.95 × 264,831.70
  4. Step 4: Simplify right side
    275,329.30x = 109,373,889,868.22
  5. Step 5: Solve for x
    x = 109,373,889,868.22/275,329.30
  6. Step 6: Final answer
    x = 397,247.55

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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.