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Finding the Fourth Proportional to 305,852.90, 422,071.36 and 169,881.44

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Solution

The fourth proportional to 305,852.90, 422,071.36 and 169,881.44 is: 234,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,852.90 : 422,071.36 = 169,881.44 : x
  2. Step 2: Convert to fraction form
    305,852.90/422,071.36 = 169,881.44/x
  3. Step 3: Cross multiply
    305,852.90x = 422,071.36 × 169,881.44
  4. Step 4: Simplify right side
    305,852.90x = 71,702,087,884.50
  5. Step 5: Solve for x
    x = 71,702,087,884.50/305,852.90
  6. Step 6: Final answer
    x = 234,433.25

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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.