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Finding the Fourth Proportional to 511,169.29, 705,384.83 and 281,725.88

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Solution

The fourth proportional to 511,169.29, 705,384.83 and 281,725.88 is: 388,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169.29 : 705,384.83 = 281,725.88 : x
  2. Step 2: Convert to fraction form
    511,169.29/705,384.83 = 281,725.88/x
  3. Step 3: Cross multiply
    511,169.29x = 705,384.83 × 281,725.88
  4. Step 4: Simplify right side
    511,169.29x = 198,725,159,147.79
  5. Step 5: Solve for x
    x = 198,725,159,147.79/511,169.29
  6. Step 6: Final answer
    x = 388,765.84

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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.