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Finding the Fourth Proportional to 408,940.22, 613,363.39 and 109,444.17

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Solution

The fourth proportional to 408,940.22, 613,363.39 and 109,444.17 is: 164,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,940.22 : 613,363.39 = 109,444.17 : x
  2. Step 2: Convert to fraction form
    408,940.22/613,363.39 = 109,444.17/x
  3. Step 3: Cross multiply
    408,940.22x = 613,363.39 × 109,444.17
  4. Step 4: Simplify right side
    408,940.22x = 67,129,047,126.94
  5. Step 5: Solve for x
    x = 67,129,047,126.94/408,940.22
  6. Step 6: Final answer
    x = 164,153.69

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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.