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Finding the Fourth Proportional to 399,511.44, 551,342.16 and 229,745.57

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Solution

The fourth proportional to 399,511.44, 551,342.16 and 229,745.57 is: 317,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,511.44 : 551,342.16 = 229,745.57 : x
  2. Step 2: Convert to fraction form
    399,511.44/551,342.16 = 229,745.57/x
  3. Step 3: Cross multiply
    399,511.44x = 551,342.16 × 229,745.57
  4. Step 4: Simplify right side
    399,511.44x = 126,668,416,057.52
  5. Step 5: Solve for x
    x = 126,668,416,057.52/399,511.44
  6. Step 6: Final answer
    x = 317,058.30

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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.