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Finding the Fourth Proportional to 408,659.58, 611,808.39 and 259,068.78

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Solution

The fourth proportional to 408,659.58, 611,808.39 and 259,068.78 is: 387,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,659.58 : 611,808.39 = 259,068.78 : x
  2. Step 2: Convert to fraction form
    408,659.58/611,808.39 = 259,068.78/x
  3. Step 3: Cross multiply
    408,659.58x = 611,808.39 × 259,068.78
  4. Step 4: Simplify right side
    408,659.58x = 158,500,453,191.06
  5. Step 5: Solve for x
    x = 158,500,453,191.06/408,659.58
  6. Step 6: Final answer
    x = 387,854.49

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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.