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Finding the Fourth Proportional to 551,460.80, 827,344.80 and 270,987.20

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Solution

The fourth proportional to 551,460.80, 827,344.80 and 270,987.20 is: 406,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,460.80 : 827,344.80 = 270,987.20 : x
  2. Step 2: Convert to fraction form
    551,460.80/827,344.80 = 270,987.20/x
  3. Step 3: Cross multiply
    551,460.80x = 827,344.80 × 270,987.20
  4. Step 4: Simplify right side
    551,460.80x = 224,199,850,786.56
  5. Step 5: Solve for x
    x = 224,199,850,786.56/551,460.80
  6. Step 6: Final answer
    x = 406,556.28

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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.