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Finding the Fourth Proportional to 285,514.90, 428,272.35 and 179,991.70

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Solution

The fourth proportional to 285,514.90, 428,272.35 and 179,991.70 is: 269,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,514.90 : 428,272.35 = 179,991.70 : x
  2. Step 2: Convert to fraction form
    285,514.90/428,272.35 = 179,991.70/x
  3. Step 3: Cross multiply
    285,514.90x = 428,272.35 × 179,991.70
  4. Step 4: Simplify right side
    285,514.90x = 77,085,468,339.50
  5. Step 5: Solve for x
    x = 77,085,468,339.50/285,514.90
  6. Step 6: Final answer
    x = 269,987.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.