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Finding the Fourth Proportional to 305,340.46, 421,358.43 and 171,195.82

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Solution

The fourth proportional to 305,340.46, 421,358.43 and 171,195.82 is: 236,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,340.46 : 421,358.43 = 171,195.82 : x
  2. Step 2: Convert to fraction form
    305,340.46/421,358.43 = 171,195.82/x
  3. Step 3: Cross multiply
    305,340.46x = 421,358.43 × 171,195.82
  4. Step 4: Simplify right side
    305,340.46x = 72,134,801,937.76
  5. Step 5: Solve for x
    x = 72,134,801,937.76/305,340.46
  6. Step 6: Final answer
    x = 236,243.84

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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.