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Finding the Fourth Proportional to 551,071.80, 826,616.46 and 209,520.44

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Solution

The fourth proportional to 551,071.80, 826,616.46 and 209,520.44 is: 314,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,071.80 : 826,616.46 = 209,520.44 : x
  2. Step 2: Convert to fraction form
    551,071.80/826,616.46 = 209,520.44/x
  3. Step 3: Cross multiply
    551,071.80x = 826,616.46 × 209,520.44
  4. Step 4: Simplify right side
    551,071.80x = 173,193,040,277.36
  5. Step 5: Solve for x
    x = 173,193,040,277.36/551,071.80
  6. Step 6: Final answer
    x = 314,283.98

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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.