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Finding the Fourth Proportional to 442,415.25, 663,622.92 and 109,991.25

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Solution

The fourth proportional to 442,415.25, 663,622.92 and 109,991.25 is: 164,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,415.25 : 663,622.92 = 109,991.25 : x
  2. Step 2: Convert to fraction form
    442,415.25/663,622.92 = 109,991.25/x
  3. Step 3: Cross multiply
    442,415.25x = 663,622.92 × 109,991.25
  4. Step 4: Simplify right side
    442,415.25x = 72,992,714,499.45
  5. Step 5: Solve for x
    x = 72,992,714,499.45/442,415.25
  6. Step 6: Final answer
    x = 164,986.89

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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.