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Finding the Fourth Proportional to 416,498.78, 574,338.71 and 356,268.80

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Solution

The fourth proportional to 416,498.78, 574,338.71 and 356,268.80 is: 491,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,498.78 : 574,338.71 = 356,268.80 : x
  2. Step 2: Convert to fraction form
    416,498.78/574,338.71 = 356,268.80/x
  3. Step 3: Cross multiply
    416,498.78x = 574,338.71 × 356,268.80
  4. Step 4: Simplify right side
    416,498.78x = 204,618,958,352.21
  5. Step 5: Solve for x
    x = 204,618,958,352.21/416,498.78
  6. Step 6: Final answer
    x = 491,283.46

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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.