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Finding the Fourth Proportional to 408,290.33, 612,559.98 and 208,750.83

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Solution

The fourth proportional to 408,290.33, 612,559.98 and 208,750.83 is: 313,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,290.33 : 612,559.98 = 208,750.83 : x
  2. Step 2: Convert to fraction form
    408,290.33/612,559.98 = 208,750.83/x
  3. Step 3: Cross multiply
    408,290.33x = 612,559.98 × 208,750.83
  4. Step 4: Simplify right side
    408,290.33x = 127,872,404,249.78
  5. Step 5: Solve for x
    x = 127,872,404,249.78/408,290.33
  6. Step 6: Final answer
    x = 313,189.90

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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.