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Finding the Fourth Proportional to 399,511.75, 551,342.43 and 229,745.89

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Solution

The fourth proportional to 399,511.75, 551,342.43 and 229,745.89 is: 317,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,511.75 : 551,342.43 = 229,745.89 : x
  2. Step 2: Convert to fraction form
    399,511.75/551,342.43 = 229,745.89/x
  3. Step 3: Cross multiply
    399,511.75x = 551,342.43 × 229,745.89
  4. Step 4: Simplify right side
    399,511.75x = 126,668,657,275.11
  5. Step 5: Solve for x
    x = 126,668,657,275.11/399,511.75
  6. Step 6: Final answer
    x = 317,058.65

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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.