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Finding the Fourth Proportional to 551,336.88, 827,120.12 and 172,242.30

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Solution

The fourth proportional to 551,336.88, 827,120.12 and 172,242.30 is: 258,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,336.88 : 827,120.12 = 172,242.30 : x
  2. Step 2: Convert to fraction form
    551,336.88/827,120.12 = 172,242.30/x
  3. Step 3: Cross multiply
    551,336.88x = 827,120.12 × 172,242.30
  4. Step 4: Simplify right side
    551,336.88x = 142,465,070,983.87
  5. Step 5: Solve for x
    x = 142,465,070,983.87/551,336.88
  6. Step 6: Final answer
    x = 258,399.31

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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.