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Finding the Fourth Proportional to 305,540, 421,648.08 and 171,406.88

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Solution

The fourth proportional to 305,540, 421,648.08 and 171,406.88 is: 236,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,540 : 421,648.08 = 171,406.88 : x
  2. Step 2: Convert to fraction form
    305,540/421,648.08 = 171,406.88/x
  3. Step 3: Cross multiply
    305,540x = 421,648.08 × 171,406.88
  4. Step 4: Simplify right side
    305,540x = 72,273,381,850.79
  5. Step 5: Solve for x
    x = 72,273,381,850.79/305,540
  6. Step 6: Final answer
    x = 236,543.11

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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.