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Finding the Fourth Proportional to 414,542.16, 621,813.24 and 115,022.80

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Solution

The fourth proportional to 414,542.16, 621,813.24 and 115,022.80 is: 172,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.16 : 621,813.24 = 115,022.80 : x
  2. Step 2: Convert to fraction form
    414,542.16/621,813.24 = 115,022.80/x
  3. Step 3: Cross multiply
    414,542.16x = 621,813.24 × 115,022.80
  4. Step 4: Simplify right side
    414,542.16x = 71,522,699,941.87
  5. Step 5: Solve for x
    x = 71,522,699,941.87/414,542.16
  6. Step 6: Final answer
    x = 172,534.20

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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.