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Finding the Fourth Proportional to 393,622.20, 590,490.90 and 206,647.80

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Solution

The fourth proportional to 393,622.20, 590,490.90 and 206,647.80 is: 310,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,622.20 : 590,490.90 = 206,647.80 : x
  2. Step 2: Convert to fraction form
    393,622.20/590,490.90 = 206,647.80/x
  3. Step 3: Cross multiply
    393,622.20x = 590,490.90 × 206,647.80
  4. Step 4: Simplify right side
    393,622.20x = 122,023,645,405.02
  5. Step 5: Solve for x
    x = 122,023,645,405.02/393,622.20
  6. Step 6: Final answer
    x = 310,001.94

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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.