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Finding the Fourth Proportional to 381,852.27, 527,051.40 and 220,800.18

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Solution

The fourth proportional to 381,852.27, 527,051.40 and 220,800.18 is: 304,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,852.27 : 527,051.40 = 220,800.18 : x
  2. Step 2: Convert to fraction form
    381,852.27/527,051.40 = 220,800.18/x
  3. Step 3: Cross multiply
    381,852.27x = 527,051.40 × 220,800.18
  4. Step 4: Simplify right side
    381,852.27x = 116,373,043,989.25
  5. Step 5: Solve for x
    x = 116,373,043,989.25/381,852.27
  6. Step 6: Final answer
    x = 304,759.34

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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.