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Finding the Fourth Proportional to 491,055.81, 677,555.40 and 287,067.29

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Solution

The fourth proportional to 491,055.81, 677,555.40 and 287,067.29 is: 396,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,055.81 : 677,555.40 = 287,067.29 : x
  2. Step 2: Convert to fraction form
    491,055.81/677,555.40 = 287,067.29/x
  3. Step 3: Cross multiply
    491,055.81x = 677,555.40 × 287,067.29
  4. Step 4: Simplify right side
    491,055.81x = 194,503,989,115.09
  5. Step 5: Solve for x
    x = 194,503,989,115.09/491,055.81
  6. Step 6: Final answer
    x = 396,093.45

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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.