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Finding the Fourth Proportional to 491,121.50, 677,645.61 and 287,132.42

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Solution

The fourth proportional to 491,121.50, 677,645.61 and 287,132.42 is: 396,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,121.50 : 677,645.61 = 287,132.42 : x
  2. Step 2: Convert to fraction form
    491,121.50/677,645.61 = 287,132.42/x
  3. Step 3: Cross multiply
    491,121.50x = 677,645.61 × 287,132.42
  4. Step 4: Simplify right side
    491,121.50x = 194,574,020,513.45
  5. Step 5: Solve for x
    x = 194,574,020,513.45/491,121.50
  6. Step 6: Final answer
    x = 396,183.06

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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.