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Finding the Fourth Proportional to 408,859.20, 613,245.64 and 109,370

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Solution

The fourth proportional to 408,859.20, 613,245.64 and 109,370 is: 164,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859.20 : 613,245.64 = 109,370 : x
  2. Step 2: Convert to fraction form
    408,859.20/613,245.64 = 109,370/x
  3. Step 3: Cross multiply
    408,859.20x = 613,245.64 × 109,370
  4. Step 4: Simplify right side
    408,859.20x = 67,070,675,646.80
  5. Step 5: Solve for x
    x = 67,070,675,646.80/408,859.20
  6. Step 6: Final answer
    x = 164,043.45

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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.