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Finding the Fourth Proportional to 462,771.90, 694,021.68 and 209,906.10

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Solution

The fourth proportional to 462,771.90, 694,021.68 and 209,906.10 is: 314,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,771.90 : 694,021.68 = 209,906.10 : x
  2. Step 2: Convert to fraction form
    462,771.90/694,021.68 = 209,906.10/x
  3. Step 3: Cross multiply
    462,771.90x = 694,021.68 × 209,906.10
  4. Step 4: Simplify right side
    462,771.90x = 145,679,384,164.25
  5. Step 5: Solve for x
    x = 145,679,384,164.25/462,771.90
  6. Step 6: Final answer
    x = 314,797.39

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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.