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Finding the Fourth Proportional to 305,911.33, 422,157.25 and 169,957.82

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Solution

The fourth proportional to 305,911.33, 422,157.25 and 169,957.82 is: 234,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,911.33 : 422,157.25 = 169,957.82 : x
  2. Step 2: Convert to fraction form
    305,911.33/422,157.25 = 169,957.82/x
  3. Step 3: Cross multiply
    305,911.33x = 422,157.25 × 169,957.82
  4. Step 4: Simplify right side
    305,911.33x = 71,748,927,175.04
  5. Step 5: Solve for x
    x = 71,748,927,175.04/305,911.33
  6. Step 6: Final answer
    x = 234,541.58

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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.