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Finding the Fourth Proportional to 305,676, 421,871.76 and 171,540

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Solution

The fourth proportional to 305,676, 421,871.76 and 171,540 is: 236,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,676 : 421,871.76 = 171,540 : x
  2. Step 2: Convert to fraction form
    305,676/421,871.76 = 171,540/x
  3. Step 3: Cross multiply
    305,676x = 421,871.76 × 171,540
  4. Step 4: Simplify right side
    305,676x = 72,367,881,710.40
  5. Step 5: Solve for x
    x = 72,367,881,710.40/305,676
  6. Step 6: Final answer
    x = 236,747.02

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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.