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Finding the Fourth Proportional to 408,367.83, 612,019.54 and 208,519.77

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Solution

The fourth proportional to 408,367.83, 612,019.54 and 208,519.77 is: 312,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,367.83 : 612,019.54 = 208,519.77 : x
  2. Step 2: Convert to fraction form
    408,367.83/612,019.54 = 208,519.77/x
  3. Step 3: Cross multiply
    408,367.83x = 612,019.54 × 208,519.77
  4. Step 4: Simplify right side
    408,367.83x = 127,618,173,716.31
  5. Step 5: Solve for x
    x = 127,618,173,716.31/408,367.83
  6. Step 6: Final answer
    x = 312,507.90

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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.