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Finding the Fourth Proportional to 497,639.20, 746,458.80 and 408,992.80

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Solution

The fourth proportional to 497,639.20, 746,458.80 and 408,992.80 is: 613,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,639.20 : 746,458.80 = 408,992.80 : x
  2. Step 2: Convert to fraction form
    497,639.20/746,458.80 = 408,992.80/x
  3. Step 3: Cross multiply
    497,639.20x = 746,458.80 × 408,992.80
  4. Step 4: Simplify right side
    497,639.20x = 305,296,274,696.64
  5. Step 5: Solve for x
    x = 305,296,274,696.64/497,639.20
  6. Step 6: Final answer
    x = 613,489.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.