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Finding the Fourth Proportional to 305,227.71, 421,214.22 and 169,282.40

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Solution

The fourth proportional to 305,227.71, 421,214.22 and 169,282.40 is: 233,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,227.71 : 421,214.22 = 169,282.40 : x
  2. Step 2: Convert to fraction form
    305,227.71/421,214.22 = 169,282.40/x
  3. Step 3: Cross multiply
    305,227.71x = 421,214.22 × 169,282.40
  4. Step 4: Simplify right side
    305,227.71x = 71,304,151,969.66
  5. Step 5: Solve for x
    x = 71,304,151,969.66/305,227.71
  6. Step 6: Final answer
    x = 233,609.69

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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.