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Finding the Fourth Proportional to 305,735.92, 421,892.44 and 171,574

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Solution

The fourth proportional to 305,735.92, 421,892.44 and 171,574 is: 236,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,735.92 : 421,892.44 = 171,574 : x
  2. Step 2: Convert to fraction form
    305,735.92/421,892.44 = 171,574/x
  3. Step 3: Cross multiply
    305,735.92x = 421,892.44 × 171,574
  4. Step 4: Simplify right side
    305,735.92x = 72,385,773,500.56
  5. Step 5: Solve for x
    x = 72,385,773,500.56/305,735.92
  6. Step 6: Final answer
    x = 236,759.14

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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.