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Finding the Fourth Proportional to 408,855.69, 613,240.40 and 109,366.49

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Solution

The fourth proportional to 408,855.69, 613,240.40 and 109,366.49 is: 164,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855.69 : 613,240.40 = 109,366.49 : x
  2. Step 2: Convert to fraction form
    408,855.69/613,240.40 = 109,366.49/x
  3. Step 3: Cross multiply
    408,855.69x = 613,240.40 × 109,366.49
  4. Step 4: Simplify right side
    408,855.69x = 67,067,951,880.71
  5. Step 5: Solve for x
    x = 67,067,951,880.71/408,855.69
  6. Step 6: Final answer
    x = 164,038.20

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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.