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Finding the Fourth Proportional to 411,982.50, 568,488 and 239,938.05

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Solution

The fourth proportional to 411,982.50, 568,488 and 239,938.05 is: 331,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,982.50 : 568,488 = 239,938.05 : x
  2. Step 2: Convert to fraction form
    411,982.50/568,488 = 239,938.05/x
  3. Step 3: Cross multiply
    411,982.50x = 568,488 × 239,938.05
  4. Step 4: Simplify right side
    411,982.50x = 136,401,902,168.40
  5. Step 5: Solve for x
    x = 136,401,902,168.40/411,982.50
  6. Step 6: Final answer
    x = 331,086.64

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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.