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Finding the Fourth Proportional to 414,160.56, 621,241.72 and 114,642

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Solution

The fourth proportional to 414,160.56, 621,241.72 and 114,642 is: 171,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,160.56 : 621,241.72 = 114,642 : x
  2. Step 2: Convert to fraction form
    414,160.56/621,241.72 = 114,642/x
  3. Step 3: Cross multiply
    414,160.56x = 621,241.72 × 114,642
  4. Step 4: Simplify right side
    414,160.56x = 71,220,392,977.64
  5. Step 5: Solve for x
    x = 71,220,392,977.64/414,160.56
  6. Step 6: Final answer
    x = 171,963.24

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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.