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Finding the Fourth Proportional to 416,409.28, 574,640.04 and 225,418.48

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Solution

The fourth proportional to 416,409.28, 574,640.04 and 225,418.48 is: 311,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,409.28 : 574,640.04 = 225,418.48 : x
  2. Step 2: Convert to fraction form
    416,409.28/574,640.04 = 225,418.48/x
  3. Step 3: Cross multiply
    416,409.28x = 574,640.04 × 225,418.48
  4. Step 4: Simplify right side
    416,409.28x = 129,534,484,363.94
  5. Step 5: Solve for x
    x = 129,534,484,363.94/416,409.28
  6. Step 6: Final answer
    x = 311,074.92

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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.