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Finding the Fourth Proportional to 305,844.72, 422,087.40 and 169,885.68

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Solution

The fourth proportional to 305,844.72, 422,087.40 and 169,885.68 is: 234,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,844.72 : 422,087.40 = 169,885.68 : x
  2. Step 2: Convert to fraction form
    305,844.72/422,087.40 = 169,885.68/x
  3. Step 3: Cross multiply
    305,844.72x = 422,087.40 × 169,885.68
  4. Step 4: Simplify right side
    305,844.72x = 71,706,604,968.43
  5. Step 5: Solve for x
    x = 71,706,604,968.43/305,844.72
  6. Step 6: Final answer
    x = 234,454.28

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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.