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Finding the Fourth Proportional to 414,720.48, 621,329.76 and 190,268.64

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Solution

The fourth proportional to 414,720.48, 621,329.76 and 190,268.64 is: 285,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,720.48 : 621,329.76 = 190,268.64 : x
  2. Step 2: Convert to fraction form
    414,720.48/621,329.76 = 190,268.64/x
  3. Step 3: Cross multiply
    414,720.48x = 621,329.76 × 190,268.64
  4. Step 4: Simplify right side
    414,720.48x = 118,219,568,426.73
  5. Step 5: Solve for x
    x = 118,219,568,426.73/414,720.48
  6. Step 6: Final answer
    x = 285,058.43

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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.