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Finding the Fourth Proportional to 416,436.40, 574,682.40 and 225,449.80

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Solution

The fourth proportional to 416,436.40, 574,682.40 and 225,449.80 is: 311,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,436.40 : 574,682.40 = 225,449.80 : x
  2. Step 2: Convert to fraction form
    416,436.40/574,682.40 = 225,449.80/x
  3. Step 3: Cross multiply
    416,436.40x = 574,682.40 × 225,449.80
  4. Step 4: Simplify right side
    416,436.40x = 129,562,032,143.52
  5. Step 5: Solve for x
    x = 129,562,032,143.52/416,436.40
  6. Step 6: Final answer
    x = 311,120.81

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1.5x scale

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.