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Finding the Fourth Proportional to 419,627.82, 629,990.46 and 249,160.80

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Solution

The fourth proportional to 419,627.82, 629,990.46 and 249,160.80 is: 374,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,627.82 : 629,990.46 = 249,160.80 : x
  2. Step 2: Convert to fraction form
    419,627.82/629,990.46 = 249,160.80/x
  3. Step 3: Cross multiply
    419,627.82x = 629,990.46 × 249,160.80
  4. Step 4: Simplify right side
    419,627.82x = 156,968,927,005.97
  5. Step 5: Solve for x
    x = 156,968,927,005.97/419,627.82
  6. Step 6: Final answer
    x = 374,067.02

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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.