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Finding the Fourth Proportional to 511,169.88, 705,385.62 and 281,726.44

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Solution

The fourth proportional to 511,169.88, 705,385.62 and 281,726.44 is: 388,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169.88 : 705,385.62 = 281,726.44 : x
  2. Step 2: Convert to fraction form
    511,169.88/705,385.62 = 281,726.44/x
  3. Step 3: Cross multiply
    511,169.88x = 705,385.62 × 281,726.44
  4. Step 4: Simplify right side
    511,169.88x = 198,725,779,549.79
  5. Step 5: Solve for x
    x = 198,725,779,549.79/511,169.88
  6. Step 6: Final answer
    x = 388,766.61

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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.