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Finding the Fourth Proportional to 442,415.78, 663,626.04 and 109,991.78

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Solution

The fourth proportional to 442,415.78, 663,626.04 and 109,991.78 is: 164,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,415.78 : 663,626.04 = 109,991.78 : x
  2. Step 2: Convert to fraction form
    442,415.78/663,626.04 = 109,991.78/x
  3. Step 3: Cross multiply
    442,415.78x = 663,626.04 × 109,991.78
  4. Step 4: Simplify right side
    442,415.78x = 72,993,409,393.95
  5. Step 5: Solve for x
    x = 72,993,409,393.95/442,415.78
  6. Step 6: Final answer
    x = 164,988.26

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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.