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Finding the Fourth Proportional to 305,849.81, 422,059.05 and 169,893.14

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Solution

The fourth proportional to 305,849.81, 422,059.05 and 169,893.14 is: 234,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,849.81 : 422,059.05 = 169,893.14 : x
  2. Step 2: Convert to fraction form
    305,849.81/422,059.05 = 169,893.14/x
  3. Step 3: Cross multiply
    305,849.81x = 422,059.05 × 169,893.14
  4. Step 4: Simplify right side
    305,849.81x = 71,704,935,159.62
  5. Step 5: Solve for x
    x = 71,704,935,159.62/305,849.81
  6. Step 6: Final answer
    x = 234,444.93

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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.