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Finding the Fourth Proportional to 416,268, 574,449.84 and 225,282.78

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Solution

The fourth proportional to 416,268, 574,449.84 and 225,282.78 is: 310,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,268 : 574,449.84 = 225,282.78 : x
  2. Step 2: Convert to fraction form
    416,268/574,449.84 = 225,282.78/x
  3. Step 3: Cross multiply
    416,268x = 574,449.84 × 225,282.78
  4. Step 4: Simplify right side
    416,268x = 129,413,656,925.76
  5. Step 5: Solve for x
    x = 129,413,656,925.76/416,268
  6. Step 6: Final answer
    x = 310,890.24

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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.