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Finding the Fourth Proportional to 408,986.63, 613,470.95 and 109,467.18

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Solution

The fourth proportional to 408,986.63, 613,470.95 and 109,467.18 is: 164,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,986.63 : 613,470.95 = 109,467.18 : x
  2. Step 2: Convert to fraction form
    408,986.63/613,470.95 = 109,467.18/x
  3. Step 3: Cross multiply
    408,986.63x = 613,470.95 × 109,467.18
  4. Step 4: Simplify right side
    408,986.63x = 67,154,934,908.42
  5. Step 5: Solve for x
    x = 67,154,934,908.42/408,986.63
  6. Step 6: Final answer
    x = 164,198.36

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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.