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Finding the Fourth Proportional to 551,372.85, 827,080.34 and 172,328.49

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Solution

The fourth proportional to 551,372.85, 827,080.34 and 172,328.49 is: 258,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,372.85 : 827,080.34 = 172,328.49 : x
  2. Step 2: Convert to fraction form
    551,372.85/827,080.34 = 172,328.49/x
  3. Step 3: Cross multiply
    551,372.85x = 827,080.34 × 172,328.49
  4. Step 4: Simplify right side
    551,372.85x = 142,529,505,239.24
  5. Step 5: Solve for x
    x = 142,529,505,239.24/551,372.85
  6. Step 6: Final answer
    x = 258,499.32

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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.