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Finding the Fourth Proportional to 393,623.20, 590,492.40 and 206,648.80

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Solution

The fourth proportional to 393,623.20, 590,492.40 and 206,648.80 is: 310,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,623.20 : 590,492.40 = 206,648.80 : x
  2. Step 2: Convert to fraction form
    393,623.20/590,492.40 = 206,648.80/x
  3. Step 3: Cross multiply
    393,623.20x = 590,492.40 × 206,648.80
  4. Step 4: Simplify right side
    393,623.20x = 122,024,545,869.12
  5. Step 5: Solve for x
    x = 122,024,545,869.12/393,623.20
  6. Step 6: Final answer
    x = 310,003.44

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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.