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Finding the Fourth Proportional to 305,946.56, 422,205.81 and 169,993.02

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Solution

The fourth proportional to 305,946.56, 422,205.81 and 169,993.02 is: 234,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,946.56 : 422,205.81 = 169,993.02 : x
  2. Step 2: Convert to fraction form
    305,946.56/422,205.81 = 169,993.02/x
  3. Step 3: Cross multiply
    305,946.56x = 422,205.81 × 169,993.02
  4. Step 4: Simplify right side
    305,946.56x = 71,772,040,703.45
  5. Step 5: Solve for x
    x = 71,772,040,703.45/305,946.56
  6. Step 6: Final answer
    x = 234,590.12

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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.