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Finding the Fourth Proportional to 305,855.15, 422,074.46 and 169,883.69

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Solution

The fourth proportional to 305,855.15, 422,074.46 and 169,883.69 is: 234,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,855.15 : 422,074.46 = 169,883.69 : x
  2. Step 2: Convert to fraction form
    305,855.15/422,074.46 = 169,883.69/x
  3. Step 3: Cross multiply
    305,855.15x = 422,074.46 × 169,883.69
  4. Step 4: Simplify right side
    305,855.15x = 71,703,565,033.89
  5. Step 5: Solve for x
    x = 71,703,565,033.89/305,855.15
  6. Step 6: Final answer
    x = 234,436.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.