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Finding the Fourth Proportional to 419,345, 629,022.36 and 103,804.64

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Solution

The fourth proportional to 419,345, 629,022.36 and 103,804.64 is: 155,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,345 : 629,022.36 = 103,804.64 : x
  2. Step 2: Convert to fraction form
    419,345/629,022.36 = 103,804.64/x
  3. Step 3: Cross multiply
    419,345x = 629,022.36 × 103,804.64
  4. Step 4: Simplify right side
    419,345x = 65,295,439,631.75
  5. Step 5: Solve for x
    x = 65,295,439,631.75/419,345
  6. Step 6: Final answer
    x = 155,708.16

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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.