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Finding the Fourth Proportional to 507,997.10, 701,067.60 and 281,642.60

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Solution

The fourth proportional to 507,997.10, 701,067.60 and 281,642.60 is: 388,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,997.10 : 701,067.60 = 281,642.60 : x
  2. Step 2: Convert to fraction form
    507,997.10/701,067.60 = 281,642.60/x
  3. Step 3: Cross multiply
    507,997.10x = 701,067.60 × 281,642.60
  4. Step 4: Simplify right side
    507,997.10x = 197,450,501,639.76
  5. Step 5: Solve for x
    x = 197,450,501,639.76/507,997.10
  6. Step 6: Final answer
    x = 388,684.31

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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.