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Finding the Fourth Proportional to 305,888.32, 422,193.40 and 169,969

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Solution

The fourth proportional to 305,888.32, 422,193.40 and 169,969 is: 234,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888.32 : 422,193.40 = 169,969 : x
  2. Step 2: Convert to fraction form
    305,888.32/422,193.40 = 169,969/x
  3. Step 3: Cross multiply
    305,888.32x = 422,193.40 × 169,969
  4. Step 4: Simplify right side
    305,888.32x = 71,759,790,004.60
  5. Step 5: Solve for x
    x = 71,759,790,004.60/305,888.32
  6. Step 6: Final answer
    x = 234,594.74

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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.