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Finding the Fourth Proportional to 305,682, 421,880.04 and 171,546

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Solution

The fourth proportional to 305,682, 421,880.04 and 171,546 is: 236,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,682 : 421,880.04 = 171,546 : x
  2. Step 2: Convert to fraction form
    305,682/421,880.04 = 171,546/x
  3. Step 3: Cross multiply
    305,682x = 421,880.04 × 171,546
  4. Step 4: Simplify right side
    305,682x = 72,371,833,341.84
  5. Step 5: Solve for x
    x = 72,371,833,341.84/305,682
  6. Step 6: Final answer
    x = 236,755.30

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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.